Question

QUESTION :-
__________________

factories 18x²-153x+280...​

__________________​

Answer 1

$\huge\red{\tt{\underline{Answer:-}}}$

Step-1 : Multiply the coefficient of the first term by the constant 2 • 30 = 60

Step-2 : Find two factors of 60 whose sum equals the coefficient of the middle term, which is -17 .

-60 + -1 = -61

-30 + -2 = -32

-20 + -3 = -23

-15 + -4 = -19

-12 + -5 = -17 That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -12 and -5

2x2 - 12x - 5x - 30

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

2x • (x-6)

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

5 • (x-6)

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

(2x-5) • (x-6)

Which is the desired factorization

Answer 2

18x² - 48x + 280 - 105x

6x(3x-8) -35(3x-8)

(3x-8) (6x-35)