Question

Divide:-
x²-13x+22 by x-11​

Answer 1

Step-by-step explanation:

The first term is, x2 its coefficient is 1 .

The middle term is, -13x its coefficient is -13 .

The last term, "the constant", is +22

Step-1 : Multiply the coefficient of the first term by the constant 1 • 22 = 22

Step-2 : Find two factors of 22 whose sum equals the coefficient of the middle term, which is -13 .

-22 + -1 = -23

-11 + -2 = -13 That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -11 and -2

x2 - 11x - 2x - 22

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

x • (x-11)

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

2 • (x-11)

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

(x-2) • (x-11)

Which is the desired factorization