Question

What is the factored form for the quadratic function below?

y = x² + 9x + 8
Oy=(x-9)(x - 1)
Oy=(x-8)(x - 1)
Oy= (x + 9) (x + 1)
Oy= (x + 8) (x + 1)

Answer 1

• y=x²+9x+8
• y=x²+8x+x+8
• y=x(x+8)+1(x+8)
• y=(x+1)(x+8)

Option D

Answer 2

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

Step-by-step explanation:

`\sf y = x^2 + 9x + 8`

`\rightarrow \sf y = x^2 + 9x + 8`

middle term split

`\rightarrow \sf y = x^2 + 8x +x + 8`

factor the common terms

`\rightarrow \sf y = x(x + 8) + 1(x + 8)`

collect into groups

`\rightarrow \sf y = (x + 1)(x + 8)`