Question

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QUESTION :-
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factories 18x²-153x+280...​


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Answer 1

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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

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