The common zeroes of the polynomials $x^{3} + 5 x^{2} - 9 x - 45$ and $x^{3} + 8 x^{2} + 15 x$ are:

0 , -5

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-5, 3

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-5,-3

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3,-3

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Solution

The correct option is C
-5,-3

$x^{3} + 8 x^{2} + 15 x$ simplying this expression we get, x (x+3) (x+5) = 0, the value for x will be 0,-3,-5.

Substituting these values for x in the first expression, we get to know that -3 and -5 satisfy the expressions. Hence, -3 and -5 are the common zeroes of the polynomial.

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Similar questions

Find all the common zeroes of the polynomials $x^{3} + 5 x^{2} - 9 x - 45$ and $x^{3} + 8 x^{2} + 15 x$ .

x^{3} + 5 x^{2} - 9 x - 45

x^{3} + 8 x^{2} + 15 x

x^{3} - 3 x^{2} - x + 5

x^{3} - 3 x^{2} - 9 x - 5

(x^{3} - 3 x^{2} + 5 x - 1)

(2 x^{3} + x^{2} - 4 x + 2)

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