Question

Please factor using the x method

( please do not answer if you don't know how to do it )

Answer 1

`2(x - 5) ( 9x - 2)`

Explanation:

((2•3^2x^2) - 94x) + 20

Pull like factors :

18x^2 - 94x + 20 = 2 • (9x^2 - 47x + 10)

Factor

9x^2 - 47x + 10

The first term is, 9x^2 its coefficient is 9.

The middle term is, -47x its coefficient is -47.

The last term, "the constant", is +10

Step-1: Multiply the coefficient of the first term by the constant 9 • 10 = 90

Step-2: Find two factors of 90 whose sum equals the coefficient of the middle term, which is -47.

-90 + -1 = -91

-45 + -2 = -47

Step-3: Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -45 and -2

9x^2 - 45x - 2x - 10

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

9x • (x-5)

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

2 • (x-5)

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

(9x-2) • (x-5)

Which is the desired factorization

thus the answer is

`2(x - 5) ( 9x - 2)`

Answer 2

Solution given:

18x²-94x+20

taking common

2(9x²-47x+10)

doing middle term factorization

90=45*2

2(9x²-45x-2x+10)

2(9x(x-5)-2(x-5))

2(9x-2)(x-5)

2(x-5)(9x-2)

Last one is a required answer.