Question

find the root (4x²-9x- 9x +2​

Answer 1

Answer:

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Step-by-step explanation:

Step by step solution :

STEP

1

:

Equation at the end of step 1

((0 - 22x2) - 9x) - 2 = 0

STEP

2

:

STEP

3

:

Pulling out like terms

3.1 Pull out like factors :

-4x2 - 9x - 2 = -1 • (4x2 + 9x + 2)

Trying to factor by splitting the middle term

3.2 Factoring 4x2 + 9x + 2

The first term is, 4x2 its coefficient is 4 .

The middle term is, +9x its coefficient is 9 .

The last term, "the constant", is +2

Step-1 : Multiply the coefficient of the first term by the constant 4 • 2 = 8

Step-2 : Find two factors of 8 whose sum equals the coefficient of the middle term, which is 9 .

-8 + -1 = -9

-4 + -2 = -6

-2 + -4 = -6

-1 + -8 = -9

1 + 8 = 9 That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, 1 and 8

4x2 + 1x + 8x + 2

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

x • (4x+1)

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

2 • (4x+1)

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

(x+2) • (4x+1)

Which is the desired factorization