Question

Factorise using splitting the middle term.
x²–14x–32​

Answer 1

Answer:

The first term is, x2 its coefficient is 1 .

The middle term is, -14x its coefficient is -14 .

The last term, "the constant", is -32

Step-1 : Multiply the coefficient of the first term by the constant 1 • -32 = -32

Step-2 : Find two factors of -32 whose sum equals the coefficient of the middle term, which is -14 .

-32 + 1 = -31

-16 + 2 = -14 That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -16 and 2

x2 - 16x + 2x - 32

Step-4 : Add up the first 2 terms, pulling out like factors :

x • (x-16)

Add up the last 2 terms, pulling out common factors :

2 • (x-16)

Step-5 : Add up the four terms of step 4 :

(x+2) • (x-16)

Which is the desired factorization

Equation at the end of step

1

:

(x + 2) • (x - 16) = 0

Answer 2

Answer:

hope so it helps you dear