Question

20. Obtain all zeroes of polynomial f(x) = 2x4 + x3 – 14x² – 19x - 6 if two of its zeroes are-- 2 and
--1.
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Answer 1

Answer:

3, -1/2

Step-by-step explanation:

Here, we have to obtain two factors first.

If -2 and - 1 are the zeroes, then the factors are (x-(-2)) and (x-(-1)) = (x+2) and (x+1).

Now we need to multiply them and divide the polynomial by the product of two factors.

We get another two factors by splitting the middle term of the quotient obtained and from the factors, we can easily find two other zeroes.

The solution is in the attachment.