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Find all zeroes of f(x)= x^3+13x^2+32x+20,if …

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Find all zeroes of f(x)= x^3+13x^2+32x+20,if one of it's zeroes is -2.

Posted by Akshat Saxena 6 years, 4 months ago

CBSE > Class 10 > Mathematics

1 answers

Sia ? 6 years, 4 months ago

The given polynomial is f(x) = x³+ 13x² + 32x + 20
One of the zeroes = - 2
{tex}\therefore{/tex} x + 2 is a factor of p(x)
For other factor divide p(x) by (x + 2)

{tex}\therefore{/tex}Other factor of p(x) is x² + 11x + 10
For other zeroes
x² + 11x + 10 = 0
(x + 10)(x + 1) = 0
x = -10, x = -1
Hence the factors of x³+ 13x² + 32x + 20 are -2, -10 and -1.

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CBSE > Class 10 > Mathematics