Question

(x-2) is factor of x²-10x+16, then the other factor is

Answer 1

Answer:

This is a quadratic equation.

When we are asked to facorise a quadratic equation, we should label the 3 parts of it a, b and c.

x² + 10x + 16

a b c so a = 1 , b = 10 , c = 16

Now, we need to find two numbers that multiply to give c and add up to give b.

Go through the numbers that multiply to give 16 in your head, and add them to see if they give 10...

4 x 4 = 16 but does 4 + 4 = 10 ? No!

16 x 1 = 16 but does 16 +1 = 10? No!

8 x 2 = 16 but does 8 + 2 = 10 ? Yes!

Our factorisation is therefore:

x² + 10x + 16 = ( x + 8 ) ( x + 2 )