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Use the given zero to find all the zeros of the function.

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Use the given zero to find all the zeros of the function.

Function                                                                 zero

f (x) = 2x^4 - x^3 + 7x^2 - 4x - 4                             2i

asked Jan 27, 2015 in TRIGONOMETRY by anonymous

1 Answer

0 votes

Step 1:

The polynomial function is .

The root of the function is image

Since the polynomial has only real coefficients, then must the conjugate be also a root.

Thus image must also be a root of the polynomial.

image.

image is a one of the root of the function image.

Step 2:

.

Apply the long division method.

Divide the first term of the dividend by the first term of the divisor .

So, the first term of the quotient is . Multiply  by and subtract.

image

Divide the first term of the last row by first term of the divisor .

So,the second term of the quotient is . Multiply by and subtract.

image

Divide the first term of the last row by first term of the divisor .

So,the second term of the quotient is . Multiply by and subtract.

image

Quotient is

Remainder is

Step 3:

image

Thus, .

The zeros of the function image are image.

Solution :

The zeros of the function image are image.

answered Jan 27, 2015 by james Pupil

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