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Obtain all the zeros of f(x)=x^3+13x^2+3x+20is …

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Obtain all the zeros of f(x)=x^3+13x^2+3x+20is one of its zeroes is -2

Posted by Aryan Mishra 6 years, 4 months ago

CBSE > Class 10 > Mathematics

1 answers

Sia ? 6 years, 4 months ago

Here f(x) = x³ + 13x² + 32x + 20

-2 is a zero of f(x), so x+2 will be factor of f(x)

On long division of f(x) by x+2 we get

So, f(x) = x³ + 13x² + 32x + 20
= (x² + 11x + 10)(x + 2)
= (x² + 10x + x + 10)(x + 2)
= (x + 10)(x + 1)(x + 2)

Hence f(x)=0 if x+10 =0 or x+1=0 or x+2=0
Therefore, the zeroes of the polynomial are -1, -10, -2.

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CBSE > Class 10 > Mathematics