How to find the value of the coefficient - PSAT Math
Card 1 of 42
Give the coefficient of 
in the binomial expansion of 
.
Give the coefficient of
Tap to reveal answer
If the expression 
is expanded, then by the binomial theorem, the 
term is
or, equivalently, the coefficient of 
is
Therefore, the 
coefficient can be determined by setting
If the expression
or, equivalently, the coefficient of
Therefore, the
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Give the coefficient of 
in the binomial expansion of 
.
Give the coefficient of
Tap to reveal answer
If the expression 
is expanded, then by the binomial theorem, the 
term is
or, equivalently, the coefficient of 
is
Therefore, the 
coefficient can be determined by setting
:
If the expression
or, equivalently, the coefficient of
Therefore, the
← Didn't Know|Knew It →
Give the coefficient of 
in the product
.
Give the coefficient of
Tap to reveal answer
While this problem can be answered by multiplying the three binomials, it is not necessary. There are three ways to multiply one term from each binomial such that two 
terms and one constant are multiplied; find the three products and add them, as follows:
Add: 
.
The correct response is 
.
While this problem can be answered by multiplying the three binomials, it is not necessary. There are three ways to multiply one term from each binomial such that two
Add:
The correct response is
← Didn't Know|Knew It →
Give the coefficient of 
in the product
.
Give the coefficient of
Tap to reveal answer
While this problem can be answered by multiplying the three binomials, it is not necessary. There are three ways to multiply one term from each binomial such that two 
terms and one constant are multiplied; find the three products and add them, as follows:
Add: 
The correct response is -122.
While this problem can be answered by multiplying the three binomials, it is not necessary. There are three ways to multiply one term from each binomial such that two
Add:
The correct response is -122.
← Didn't Know|Knew It →
Give the coefficient of 
in the product
Give the coefficient of
Tap to reveal answer
While this problem can be answered by multiplying the three binomials, it is not necessary. There are three ways to multiply one term from each binomial such that two 
terms and one constant are multiplied; find the three products and add them, as follows:
Add: 
The correct response is 
.
While this problem can be answered by multiplying the three binomials, it is not necessary. There are three ways to multiply one term from each binomial such that two
Add:
The correct response is
← Didn't Know|Knew It →
Give the coefficient of 
in the binomial expansion of 
.
Give the coefficient of
Tap to reveal answer
If the expression 
is expanded, then by the binomial theorem, the 
term is
or, equivalently, the coefficient of 
is
Therefore, the 
coefficient can be determined by setting
:
If the expression
or, equivalently, the coefficient of
Therefore, the
← Didn't Know|Knew It →
Give the coefficient of in the binomial expansion of .
Give the coefficient of
Tap to reveal answer
If the expression is expanded, then by the binomial theorem, the term is
or, equivalently, the coefficient of is
Therefore, the coefficient can be determined by setting
If the expression
or, equivalently, the coefficient of
Therefore, the
← Didn't Know|Knew It →
Give the coefficient of in the binomial expansion of .
Give the coefficient of
Tap to reveal answer
If the expression is expanded, then by the binomial theorem, the term is
or, equivalently, the coefficient of is
Therefore, the coefficient can be determined by setting
:
If the expression
or, equivalently, the coefficient of
Therefore, the
← Didn't Know|Knew It →
Give the coefficient of in the product
.
Give the coefficient of
Tap to reveal answer
While this problem can be answered by multiplying the three binomials, it is not necessary. There are three ways to multiply one term from each binomial such that two terms and one constant are multiplied; find the three products and add them, as follows:
Add: .
The correct response is .
While this problem can be answered by multiplying the three binomials, it is not necessary. There are three ways to multiply one term from each binomial such that two
Add:
The correct response is
← Didn't Know|Knew It →
Give the coefficient of in the product
.
Give the coefficient of
Tap to reveal answer
While this problem can be answered by multiplying the three binomials, it is not necessary. There are three ways to multiply one term from each binomial such that two terms and one constant are multiplied; find the three products and add them, as follows:
Add:
The correct response is -122.
While this problem can be answered by multiplying the three binomials, it is not necessary. There are three ways to multiply one term from each binomial such that two
Add:
The correct response is -122.
← Didn't Know|Knew It →
Give the coefficient of in the product
Give the coefficient of
Tap to reveal answer
While this problem can be answered by multiplying the three binomials, it is not necessary. There are three ways to multiply one term from each binomial such that two terms and one constant are multiplied; find the three products and add them, as follows:
Add:
The correct response is .
While this problem can be answered by multiplying the three binomials, it is not necessary. There are three ways to multiply one term from each binomial such that two
Add:
The correct response is
← Didn't Know|Knew It →
Give the coefficient of in the binomial expansion of .
Give the coefficient of
Tap to reveal answer
If the expression is expanded, then by the binomial theorem, the term is
or, equivalently, the coefficient of is
Therefore, the coefficient can be determined by setting
:
If the expression
or, equivalently, the coefficient of
Therefore, the
← Didn't Know|Knew It →
Give the coefficient of in the binomial expansion of .
Give the coefficient of
Tap to reveal answer
If the expression is expanded, then by the binomial theorem, the term is
or, equivalently, the coefficient of is
Therefore, the coefficient can be determined by setting
If the expression
or, equivalently, the coefficient of
Therefore, the
← Didn't Know|Knew It →
Give the coefficient of in the binomial expansion of .
Give the coefficient of
Tap to reveal answer
If the expression is expanded, then by the binomial theorem, the term is
or, equivalently, the coefficient of is
Therefore, the coefficient can be determined by setting
:
If the expression
or, equivalently, the coefficient of
Therefore, the
← Didn't Know|Knew It →
Give the coefficient of in the product
.
Give the coefficient of
Tap to reveal answer
While this problem can be answered by multiplying the three binomials, it is not necessary. There are three ways to multiply one term from each binomial such that two terms and one constant are multiplied; find the three products and add them, as follows:
Add: .
The correct response is .
While this problem can be answered by multiplying the three binomials, it is not necessary. There are three ways to multiply one term from each binomial such that two
Add:
The correct response is
← Didn't Know|Knew It →
Give the coefficient of in the product
.
Give the coefficient of
Tap to reveal answer
While this problem can be answered by multiplying the three binomials, it is not necessary. There are three ways to multiply one term from each binomial such that two terms and one constant are multiplied; find the three products and add them, as follows:
Add:
The correct response is -122.
While this problem can be answered by multiplying the three binomials, it is not necessary. There are three ways to multiply one term from each binomial such that two
Add:
The correct response is -122.
← Didn't Know|Knew It →
Give the coefficient of in the product
Give the coefficient of
Tap to reveal answer
While this problem can be answered by multiplying the three binomials, it is not necessary. There are three ways to multiply one term from each binomial such that two terms and one constant are multiplied; find the three products and add them, as follows:
Add:
The correct response is .
While this problem can be answered by multiplying the three binomials, it is not necessary. There are three ways to multiply one term from each binomial such that two
Add:
The correct response is
← Didn't Know|Knew It →
Give the coefficient of in the binomial expansion of .
Give the coefficient of
Tap to reveal answer
If the expression is expanded, then by the binomial theorem, the term is
or, equivalently, the coefficient of is
Therefore, the coefficient can be determined by setting
:
If the expression
or, equivalently, the coefficient of
Therefore, the
← Didn't Know|Knew It →
Give the coefficient of in the binomial expansion of .
Give the coefficient of
Tap to reveal answer
If the expression is expanded, then by the binomial theorem, the term is
or, equivalently, the coefficient of is
Therefore, the coefficient can be determined by setting
If the expression
or, equivalently, the coefficient of
Therefore, the
← Didn't Know|Knew It →
Give the coefficient of in the binomial expansion of .
Give the coefficient of
Tap to reveal answer
If the expression is expanded, then by the binomial theorem, the term is
or, equivalently, the coefficient of is
Therefore, the coefficient can be determined by setting
:
If the expression
or, equivalently, the coefficient of
Therefore, the
← Didn't Know|Knew It →