Question

factorize

x² – 22x+117​

Answer 1

x^2 - 22x + 117
x^2 - 13x - 9x + 117 (splitting middle term so that the sum will be -22 and product will be 117)
x(x-13)-9(x-13). (Take out common)

Arrange it: x-9(x-13)
Answer : (x-9)(x-13)

Please Mark it *Brainliest

Answer 2

$\huge\sf{\underline{\underline{Solution: (x - 13)(x - 9) .</p><p>}}}$

$\sf\underline{\underline{STEP-BY-STEP-EXPLANATION}}$

▪Given :-

• x² - 22x + 117

▪To Factorize :-

• x²- 22x + 117

______________________________

find out two numbers p and q

Such that p + q = -22 and pq = 117

A.T.Q

13 + 9 = -22 and 13 × 9 = 117

So, numbers are 13 and 19

Now, split the middle term of 22x

$\implies$ x² - 22x + 117

$\implies$ x² - 13x - 9x + 117

$\implies$ x(x - 13) - 9(x - 13)

$\implies$ (x - 13)(x - 9)

Hence, Required answer is  (x - 13)(x - 9) .