Question

Use the expression 3 - 7p^2 + 11(4+n) to find an example of each kind of expression. What is the product of 11(4 + n)?

a) 3 - 7p^2
b) 4 + n
c) 11(4 + n)
d) 44 + 11n

Answer 1

The expression 3 - 7p^2 is a binomial, 4 + n is a simpler binomial, and the product of 11(4 + n) is found by distribution, resulting in 44 + 11n.

Step-by-step explanation:

The student asks to identify different kinds of expressions within the larger expression 3 - 7p^2 + 11(4+n) and to determine the product of 11(4 + n). To address this:

• The expression 3 - 7p^2 is an example of a polynomial with two terms, also known as a binomial.
• 4 + n is a simpler binomial with one variable.
• 11(4 + n) is an expression that requires the distribution property to expand.
• When we distribute the 11 within the parentheses, we get 44 + 11n, which is the product of 11(4 + n).