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Functions

What must be ...

Question

What must be subtracted or added to $p (x) = 8 x^{4} + 14 x^{3} - 2 x^{2} + 8 x - 12$ . so that $4 x^{2} + 3 x - 2$ is a factor of $p (x)$ ?

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Solution

Remainder is $15 x - 14$ which should be subtracted from p(x) so that $4 x^{2} + 3 x - 2$ becomes the factor of p(x)$

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Q. What must be subtracted from

p (x) = 8 x^{4} + 14 x^{3} - 2 x^{2} + 8 x - 12

4 x^{2} + 3 x - 2

is factor of p(x)? This question was given to group of students for wirking together. Do you think teacher should promote work?

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8 x^{4} + 14 x^{3} - 2 x^{2} + 7 x - 8

so that the resulting polynomial is exactly divisible by

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Q. What must be subtracted from

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p (x) = 4 x^{3} + 8 x^{2} + 8 x + 7

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