Question

What is the answer to: Factorise x^2 + 10x +16?

Answer 1

(x + 8)(x + 2)

Explanation:

Given

x² + 10x + 16

Consider the factors of the constant term (+ 16) which sum to give the coefficient of the x- term (+ 10)

The factors are + 8 and + 2, since

8 × 2 = 16 and 8 + 2 = 10, thus

x² + 10x + 16 = (x + 8)(x + 2) ← in factored form

Answer 2

Answer:x=-2 and -8

Explanation:

X^2+10x+16=0

X^2+8x+2x+16=0

X(x+8)+2(x+8)=0

(X+2)(x+8)=0

X+2=0 and x+8=0

X=-2 and x=-8