Question

Using Factors to Write Equivalent Expressions

Which expression has an equivalent value to x2 + 9x + 8 for all values of x?
(x + 1)(x + 8)
(x + 2)(x+6)
(x+4)(x+4)
(x+5)(x+4)

Answer 1

The first option is correct yall.

Explanation:

Answer 2

(x + 1)(x + 8)

Explanation:

You can try expanding each of these expressions to check if they equal

x^2 + 9x + 8

or you can use the Diamond Method to factor this trinomial.

1*8 = 8 and 1 + 8 = 9

x^2 + x + 8x + 8 = x^2 + 9x + 8

x(x + 1) + 8(x + 1) = x^2 + 9x + 8

(x + 8)(x + 1) = x^2 + 9x + 8