How to find the value of the coefficient
Help Questions
PSAT Math › How to find the value of the coefficient
Give the coefficient of in the binomial expansion of
.
Explanation
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
:
Give the coefficient of in the binomial expansion of
.
Explanation
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
:
Give the coefficient of in the binomial expansion of
.
Explanation
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
Give the coefficient of in the product
.
Explanation
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.
Give the coefficient of in the product
.
Explanation
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 .
Give the coefficient of in the product
Explanation
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 .