Solve by Factoring:

1.) x²- x + 12 = 0

2.) 4x³ + 21x² - 18x = 0

3.) x³- x² - x + 1

4 answers

1.
Factor by completing the square or the quadratic formula.
However, factoring by trial and error is faster, noting that only a few rational factors are possible, namely x±1, x±2, x±3, x±4, x±6.

2. note that x is a common factor of all the terms, so the problem reduces to a quadratic expression.

3. The sum of the coeffients is zero implies that (x-1) is a factor.
Reduce the expression to a quadratic by long division.
factoring usually assumes we are dealing with rational numbers
x^2 - x + 12 = 0 does not factor (there are no two numbers which multiply to get 12 and add to get -1)

2. x(4x^2 + 21x - 18)
= x(4x - 3)(x + 6)

3. grouping
x^2(x-1) - 1(x-1)
= (x-1)(x^1 - 1(
= (x-1)(x-1)(x+1) or (x+1)(x-1)^2
Thank you Reiny, I overlooked #1.
1x1=1x10000+9+9+9=10027
Similar Questions
    1. answers icon 1 answer
  1. My bad I didn't save this questions link:Solve by factoring. x² - 121 = 0 0 -11 11 11, -11 Solve by factoring. m² + 8m + 7 = 0
    1. answers icon 1 answer
    1. answers icon 1 answer
  2. KUTA SOFTWARE- INFINITE ALGEBRA 1SOLVING QUADRATIC EQUATIONS BY FACTORING SOLVE EACH EQUATION BY FACTORING. 1) (K+ 1) (K - 5) =
    1. answers icon 1 answer
more similar questions