Question

Factorise.
x²-24x+128

Answer 1

Answer:

Step 1 :

Trying to factor by splitting the middle term

1.1 Factoring x2-24x+128

The first term is, x2 its coefficient is 1 .

The middle term is, -24x its coefficient is -24 .

The last term, "the constant", is +128

Step-1 : Multiply the coefficient of the first term by the constant 1 • 128 = 128

Step-2 : Find two factors of 128 whose sum equals the coefficient of the middle term, which is -24 .

-128 + -1 = -129

-64 + -2 = -66

-32 + -4 = -36

-16 + -8 = -24 That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -16 and -8

x2 - 16x - 8x - 128

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 :

8 • (x-16)

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

(x-8) • (x-16)

Which is the desired factorization

Answer 2

Answer:

Factorise the polynomials p(x) = x² 2 4x + 128. .