SOLUTION: given a real zero, find all other zeros and write the polynomial in factored form. P(x)=x3+3x2-10x-24 (3is a zero) p(x)=x to the third power+three x to the second power-ten x-24(

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: given a real zero, find all other zeros and write the polynomial in factored form. P(x)=x3+3x2-10x-24 (3is a zero) p(x)=x to the third power+three x to the second power-ten x-24(      Log On


   



Question 235893: given a real zero, find all other zeros and write the polynomial in factored form.
P(x)=x3+3x2-10x-24 (3is a zero)
p(x)=x to the third power+three x to the second power-ten x-24(three is a zero)

Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


If 3 is a zero of P(x), then (x - 3) is a factor of P(x). Use polynomial long division to divide P(x) by (x - 3). The quotient, set equal to zero, will be a factorable quadratic equation which, when solved, will give you the other two zeros of P(x).

Below are two sites that illustrate polynomial long division

http://www.purplemath.com/modules/polydiv2.htm

http://en.wikipedia.org/wiki/Polynomial_long_division


John