Question

find all the zeros of the polynomial f (x )x ^3 + 13 x^2 + 32 X + 20 if one of its zero is -2
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Answer 1

Step-by-step explanation:

f(x) = x³ + 13x² + 32x + 20

x = -2

x + 2 = 0

x² + 11x + 10

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x + 2 √ x³ + 13x² + 32x + 20 \

-x³ - 2x²

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11x² + 32x + 20

-11x² - 22x

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10x + 20

-10x - 20

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0 0

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x² + 11x + 10 = 0

x² + 10x + x + 10 = 0

x(x + 10) + 1(x + 10) = 0

(x + 1) (x + 10) = 0

x = -1 , -10

So , all the zeroes of above cubic polynomial

are -2 , -1 & -10 .