Question

Which expression has an equivalent value to x2 + 9x + 8 for all values of x?

Answer 1

Answer:

$(x+8)(x+1)$

First option is correct.

Step-by-step explanation:

We have been given the quadratic expression $x^2+9x+8$

Write the middle term as : 9x = 8x +x

$x^2+8x+x+8$

Now, make groups as shown below

$(x^2+8x)+(x+8)$

Factored out GCF from each group

$x(x+8)+1(x+8)$

Factored out the common term x+8

$(x+8)(x+1)$

Therefore, the given expression is equivalent to $(x+8)(x+1)$

First option is correct.

Answer 2

$Answer: \\ {x}^{2} + 9x + 8 \\ = {x}^{2} + 8x + x + 8 \\ = x(x + 8) + x + 8 \\ = (x + 1)(x + 8)$