Question

3x^2 - x - 4 factorization of quadratic expression.... plz explain with steps​

Answer 1

Answer:

STEP

1

:

Equation at the end of step 1

(3x2 - x) - 4

STEP

2

:

Trying to factor by splitting the middle term

2.1 Factoring 3x2-x-4

The first term is, 3x2 its coefficient is 3 .

The middle term is, -x its coefficient is -1 .

The last term, "the constant", is -4

Step-1 : Multiply the coefficient of the first term by the constant 3 • -4 = -12

Step-2 : Find two factors of -12 whose sum equals the coefficient of the middle term, which is -1 .

-12 + 1 = -11

-6 + 2 = -4

-4 + 3 = -1 That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -4 and 3

3x2 - 4x + 3x - 4

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

x • (3x-4)

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

1 • (3x-4)

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

(x+1) • (3x-4)

Which is the desired factorization

Final result :

(3x - 4) • (x + 1)