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)

Question

Nataly Cole

Mathematics

22 April, 14:53

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)

+3

Answers (1)

Know the Answer?

Eduardo · Answer 1

(x + 1) (x + 8)

Step-by-step 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

Using Factors to Write Equivalent ExpressionsWhich 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)

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)