SOLUTION: Find a polynomial f(x) of degree 4 that has the following zeros. -3,6,0,7 Leave your answer in factored form.

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Find a polynomial f(x) of degree 4 that has the following zeros. -3,6,0,7 Leave your answer in factored form.       Log On


   

Question 1080409: Find a polynomial
f(x)
of degree
4
that has the following zeros.
-3,6,0,7
Leave your answer in factored form.

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
Find a polynomial f%28x%29 of degree 4 that has the following zeros:
x%5B1%5D=-3,x%5B2%5D=6,x%5B3%5D=0,x%5B4%5D=7+
f%28x%29=%28x-x%5B1%5D%29%28x-x%5B2%5D%29%28x-x%5B3%5D%29%28x-x%5B4%5D%29
f%28x%29=%28x-%28-3%29%29%28x-6%29%28x-0%29%28x-7%29
f%28x%29=%28x%2B3%29%28x-6%29%28x%29%28x-7%29
f%28x%29=%28x%5E2-6x%2B3x-18%29%28x%5E2-7x%29
f%28x%29=%28x%5E2-3x-18%29%28x%5E2-7x%29
f%28x%29=x%5E4+-10x%5E3+%2B+3x%5E2+%2B+126x

f%28x%29=x%28x+%2B+3%29%28x+-+6%29%28x+-+7%29

check zeros:
+graph%28+600%2C+600%2C+-25%2C+25%2C+-130%2C+130%2Cx%5E4-10x%5E3%2B3x%5E2%2B126x%29+