SOLUTION: What is a polynomial with a single root at x=-3 and a double root at x=4

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Question 620136: What is a polynomial with a single root at x=-3 and a double root at x=4
Answer by math-vortex(648) About Me  (Show Source):
You can put this solution on YOUR website!
Hi there--
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You can write the polynomial in factored form since you know the roots.
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If x=-3 is a root, then x+3=0 and x+3 is a factor of the polynomial.
If x=4 is a root, then x-4=0 and x-4 is a factor of the polynomial. Since this is a double root, there are two factors of (x-4).
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y+=+%28x%2B3%29%28x-4%29%28x-4%29
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We can also multiply this out.
y=%28x%2B3%29%28x%5E2-8x%2B16%29
y=x%5E3-8x%5E2%2B16x%2B3x%5E2-24x%2B48
y=x%5E3-5x%5E2-8x%2B48
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Hope this helps! Feel free to email if you have still questions about this.
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Ms.Figgy
math.in.the.vortex@gmail.com