SOLUTION: Using synthetic division, find one zero of the polynomial f(x)=x^3+c^2-57x+135 then write the polynomial in factored form based on the zero you found: Zero for the polynomial: f(

SOLUTION: Using synthetic division, find one zero of the polynomial f(x)=x^3+c^2-57x+135 then write the polynomial in factored form based on the zero you found: Zero for the polynomial: f(_

Question 1182631: Using synthetic division, find one zero of the polynomial f(x)=x^3+c^2-57x+135 then write the polynomial in factored form based on the zero you found:
Zero for the polynomial: f(__) = 0
Factors of the polynomial based on the above zero: f(x)=
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Using synthetic division, find one zero of the polynomial f(x)=x^3+c^2-57x+135
I think this is: f(x) = x^3 + x^2 - 57x + 135
Try the lowest factor of 135, 3
:
.....___________________
3 | 1 + 1 - 57 + 135
............3 + 12 - 135
....--------------------
......1 + 4 - 45 + 0
:
then write the polynomial in factored form based on the zero you found:
(x-3)(x^2 + 4x - 45)
Zero for the polynomial: f(__) = 0
Factor (x^2+4x-45): (x+9)(x-5)
Factors of the polynomial based on the above zero:
f(x)= (x-3)(x-5)(x+9)
RELATED QUESTIONS
Using synthetic division, find one zero of the polynomial f(x)=x^3-21x-20 then write the... (answered by Edwin McCravy)

for f(x)= x^3-7x^2+8x+16, a, find f(10) using synthetic division. b, is 10 a zero of... (answered by josgarithmetic)

1. Use synthetic division to divide the polynomial 2x^3 + 7x^2 � 5 by 3+x and write the... (answered by jim_thompson5910)

given the polynomial P(x)=x^4-2x^3-7x^2+18x-18 a. without long division, find the... (answered by math_helper)

f(x)=X^3-4x^2-7x+10 1 is a zero Need to write the complete factored form of the... (answered by solver91311)

I need to find the complex zero for the polynomial function and write it in factored... (answered by eyes521)

4.6 The following function is given. f(x)=x^3 -5x^2 -9x+45 a. List all rational... (answered by Boreal)

For the function f(x) = 3x^4- 4x^3 +x^2+ 6x-2 a. State the degree of the polynomial.... (answered by josgarithmetic)

Please help me find the real zeros of this polynomial function:... (answered by jsmallt9)