Factorise.
x²-24x+128
Answers
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:
Factorise the polynomials p(x) = x² 2 4x + 128. .