This is a combination problem.
6 nCr 2
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Standard form of polynomial = ax² + bx + c
Zeros: x = {-2,3}
This gives the factors as, (x + 2) (x - 3)
On expanding this:
(x + 2) (x - 3)
x(x - 3) + 2(x - 3)
x² - 3x + 2x - 3
x² - x - 3
Polynomial = <em>x² - x - 3</em>
It's the same as finding the hypothenuse of a right triangle. Let c be the hypothenuse.
30 squared+ 50 squared= c squared.
900+ 2500= c squared
3400= c squared
Then find the square root of 3400 and that will equal c.
So, depending in what form the teacher was the answer. The answer will be square root of 3400 ft squared or 58.3 ft squared.
