Question

Which model represents the factors of x2 + 9x + 8?

Answer 1

(x + 1)(x + 8)

Explanation:

Given

x² + 9x + 8

Consider the factors of the constant term ( + 8) which sum to give the coefficient of the x- term (+ 9)

The factors are + 1 and + 8, since

1 × 8 = 8 and 1 + 8 = 9, hence

x² + 9x + 8 = (x + 1)(x + 8) ← in factored form

Answer 2

= (x+8)(x+1)

Explanation:

The given expression is:

x2 + 9x + 8

First of all multiply the coefficient of first term with constant term

1*8 = 8

Now find any two numbers whose sum is the middle term and whose product is 8

8*1 = 8

8+1 = 9

This shows that 8 and 1 are those numbers.

Now break the middle term of the expression:

x^2+8x+x+8

Now take the common from first two terms and last two terms:

= x(x+8)+1(x+8)

= (x+8)(x+1)....