SOLUTION: find a polynomial with leading coefficent 1 and degree 3 that has -1,11, and 3 as roots

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Question 62791: find a polynomial with leading coefficent 1 and degree 3 that has -1,11, and 3 as roots
Answer by funmath(2933) About Me  (Show Source):
You can put this solution on YOUR website!
find a polynomial with leading coefficent 1 and degree 3 that has -1,11, and 3 as roots
If x=-1 --> x+1=0
If x=11 --> x-11=0
If x=3 --> x-3=0
leading coefficient=1
f%28x%29=1%28x%2B1%29%28x-11%29%28x-3%29
f%28x%29=%28x%2B1%29%28x%5E2-3x-11x%2B33%29
f%28x%29=%28x%2B1%29%28x%5E2-14x%2B33%29
f%28x%29=x%28x%5E2-14x%2B33%29%2B1%28x%5E2-14x%2B33%29
f%28x%29=x%5E3-14x%5E2%2B33x%2Bx%5E2-14x%2B33
highlight%28f%28x%29=x%5E3-13x%5E2%2B19x%2B33%29
Happy Calculating!!!