Question

Factor the following binomial back into distributive property form. No spaces between characters/variables/symbols, etc.: x^2 + 9x

a. (x + 3)(x + 3)
b. (x + 3)(x - 3)
c. (x - 3)(x - 3)
d. (x - 3)(x + 3)

Answer 1

The binomial x^2 + 9x is factored into x(x + 9) using the distributive property. None of the provided options (a, b, c, or d) correctly factor the given binomial.

The correct option is not given.

Step-by-step explanation:

To factor the binomial x^2 + 9x, we first observe that both terms share a common factor, which is x. Factoring out this common factor using the distributive property, we get x(x + 9).

Now, looking at the options provided, none of them are correct as the binomial is already factored into its simplest form. Options (a) (x + 3)(x + 3), (b) (x + 3)(x - 3), (c) (x - 3)(x - 3), and (d) (x - 3)(x + 3) do not match the original binomial x^2 + 9x.

The correct option is not given.