Step-by-step explanation:
1. 8x^2-4x
find the common factor: 8 and 4 is 4
x^2 and x is x
combine common factor: 4x
Take out the common factor and divide it to the terms 8x^2 and -4x
Answer: 8x^2-4x = 4x(2x-1)
2. x^2 - 64
using difference of two squares property
Answer: x^2 - 64 = (x-2) (x+2)
3. 4x^2 + 12x + 9
common factor for 4x^2 and 9 that will add up to 12 is 2x and 3
Answer: 4x^2 + 12x + 9 = (2x+3) (2x+3)
4. x^3 + 8
using the cube of a binomial property
Answer: x^3 + 8 = (x + 2) (x^2 - 2x + 4)
5. x^2 + 3x + 2
factor of x^2 is x • x
factor of 2 is 2 • 1
Answer: x^2 + 3x + 2 = (x + 2) (x + 1)
6. x^2 - 4x + 3
factor of x^2 is x • x
factor of 3 is 3 • 1
Answer: x^2 - 4x + 3 = (x - 3) (x - 1)
7. 2x²- x - 12
use quadratic formula
Answer: 2x²- x - 12 =
[tex](x - \frac{1 - \sqrt{97} }{4} )(x - \frac{1 + \sqrt{97} }{4} )[/tex]
