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Factor Theorem

Obtain all ze...

Question

Obtain all zeros of f(x) = x³ + 13x² + 32x + 20, if one of its zeros is −2.

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Solution

Since −2 is one zero of .

Therefore, we know that, if is a zero of a polynomial, then is a factor of is a factor of .

Now, we divide by to find the others zeros of .

By using that division algorithm we have,

Hence, the zeros of the given polynomials are .

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Q. In the following polynomial, its one of zero is -2, find all other zeroes.

f (x) = x^{3} + 13 x^{2} + 32 x + 20

If one of the zeros of $f (x) = x^{3} + 13 x^{2} + 32 x + 20$ is $- 2$ then all its zeros are

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Q. Find all the zeroes of the polynomial

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Q. Obtain all zeros of the polynomial f(x) = 2x⁴ + x³ − 14x² − 19x − 6, if two of its zeros are −2 and −1.

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