SOLUTION: Factor to find all the real zeros of P(x)= 2x^3+5x^2-12x

Question 376787: Factor to find all the real zeros of P(x)= 2x^3+5x^2-12x
Answer by jsmallt9(3758) (Show Source): You can put this solution on YOUR website!

When factoring always start with the Greatest Common Factor (GCF), The GCF of F(x) is x. Factoring out x we get:

The second factor is a quadratic trinomial which factors as follows:

(Note: If you have trouble factoring trinomials like then use the Quadratic Formula. You will get -4 and 3/2 as answers from the Quadratic Formula. This makes (x- (-4)) (or (x+4)) and (2x - 3) factors. Note where the numerator and denominator of 3/2 ended up in (2x/3).)

P(x) is now fully factored. And from the factors we can find the zeros by setting each factor equal to zero and then solving for x:
x = 0 or 2x-3 = 0 or x+4 = 0
The first equation is already solved for x. Solving the other tow we get:
x = 0 or x = 3/2 or x = -4
These are the three zeros of P(x).
RELATED QUESTIONS
f(x)=x^3+2x^2-5x-6 find the real zeros of "f"? X= use the real zeros to factor "f" (answered by stanbon)

P(x)=x^3-5x+2 it ask me to find all the real zeros of the... (answered by Nate)

Find all of the real zeros of the polynomial P(x)=12x^3-129x^2+342x-189. (answered by Alan3354)

Graph f(x) and find all real zeros of the function f(x)=x^3+2x^2�5x�10. Approximate all... (answered by Fombitz)

x^3-2x^2+10x a what are all the zeros of, real, and complex B: Factor P... (answered by josgarithmetic)

Use the rational zeros theorem to find all the real zeros of the polynomial function. Use (answered by josgarithmetic)

Use the rational zeros theorem to find all the real zeros of the polynomial function. Use (answered by lwsshak3)