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A polinomial in x whose zeros are -2, -1 and 3 is

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asked Mar 1, 2013 in BASIC MATH by Afeez Novice

1 Answer

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To find the factors, subtract the roots.

so factors are x - (-1) = x + 1, x – (–2) = x + 2, and x – 3.

To find the general form of the  polynomial, multiply the factors:

(x + 1)(x + 2)(x - 3)

= (x2 + 2x + x + 2)(x - 3)

= (x2 + 3x  + 2)(x - 3)

x3 + 3x2 + 2x - 3x2 - 9x - 6

x3 + 0x2 - 7x - 6

The general form of the polynomial is a(x3 + 0x2 - 7x - 6).

To find the value of a you need the point.

answered Mar 1, 2013 by steve Scholar

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