Question

select the correct answer
write an expression to represent the product of 6 and the square of a number plus 15.
in your expression, what is the value of the coefficient?

a. 1
b. 6
c. 2
d. 15

Explanation:

Step1: Define the variable

Let the number be \( x \). The square of the number is \( x^2 \).

Step2: Form the expression

The product of 6 and the square of the number is \( 6\times x^2 = 6x^2 \). Then we add 15, so the expression is \( 6x^2 + 15 \).

Step3: Identify the coefficient

In the term \( 6x^2 \), the coefficient is the number multiplied by the variable (or variable with exponent). Here, the coefficient of \( x^2 \) is 6.

Answer:

B. 6