Question

I solve xo - 3325
-33x3 + 3220​

Answer 1

Answer:

Factoring x10-33x5+32

The first term is, x10 its coefficient is 1 .

The middle term is, -33x5 its coefficient is -33 .

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 -33 .

-32 + -1 = -33 That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -32 and -1

x10 - 32x5 - 1x5 - 32

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

x5 • (x5-32)

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

1 • (x5-32)

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

(x5-1) • (x5-32)

Which is the desired factorization