SOLUTION: choose the best answer? thanks! X^2+12x-3 A.) (X+3)(X-1) B.) (X-3)(X+1) C.) (X+3)(x+9) D.) prime

Question 74320: choose the best answer? thanks!

X^2+12x-3
A.) (X+3)(X-1) B.) (X-3)(X+1)
C.) (X+3)(x+9) D.) prime
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
If you plug your quadratic into the quadratic formula, you can find the factors

Solved by pluggable solver: SOLVE quadratic equation with variable

Quadratic equation (in our case ) has the following solutons:

For these solutions to exist, the discriminant should not be a negative number.

First, we need to compute the discriminant : .

Discriminant d=156 is greater than zero. That means that there are two solutions: .

Quadratic expression can be factored:

Again, the answer is: 0.244997998398398, -12.2449979983984. Here's your graph:

Since the zeros are irrational, there are no rational factors. So the polynomial is prime (answer d).
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