Factor trinomials full please? need the step?

Question

8x² - 2x - 21

Answer 1

8x² - 2x - 21
You find the factors of 8 (4 and 2)
and the factors of 21 (7 and 3)
that will make -2x
after you multiply and add/subtract the terms.
(4x-7)(2x+3)
---------------------
4x times 2x= 8x²
-7 times 3=-21
4x times 3= 12x
and
-7 times 2x= -14x
added together makes
-2x
--------------------------------
Answer: 8x² - 2x - 21

Answer 2

The answer is (4x-7) (2x + 3). The steps are a) you have 8x² - 2x - 21
b) you factor out an answer by reversing the FOIL method and C) you check the answer using the FOIL method. For example, (4x-7)(2x+3) equals 8x² +12x - 14x - 21. Then all you do is simplify and the answer is 8x² - 2x - 21, which proves that (4x-7)(2x+3) is the right answer.

Answer 3

one million. FOIL backwards (First, exterior interior final). (2x+one million) * (x+5) once you different the 1st 2 numbers in each and all the ( )'s, you get 2x^2. the exterior of each ()'s is 2x*5 which equals 10x. the interior numbers are one million*x which equals x. The final numbers are one million*5 this is 5. subsequently, you get 2x^2 + 10x + x +5. This components to 2x^2 + 111x + 5. 2. accomplished the comparable way as one, yet with those numbers: (4x - 7) * (2x + 3).

Answer 4

(4x-7)(2x+3)=0
4x-7=0;2x+3=0
4x-7+7=0+7
4x=7
4x/4=7/4
x=7/4

2x+3=0
2x+3-3=0-3
2x=-3
2x/2=-3/2
x=-3/2
answer x=7/4;-3/2