QUESTION :-__________________factories 18x²-153x+280...___________

1.	QUESTION :-__________________factories 18x²-153x+280...__________________
Answer» $\huge\red{\tt{\underline{Answer:-}}}$ 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

QUESTION :-factories 18x²-153x+280...

Answer»

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

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