What number should be added to the polynomial p(x) = x2 + x – 1, so

1.	What number should be added to the polynomial p(x) = x2 + x – 1, so that (x – 2)is a factor of the new polynomial.
Answer» p (x) = x² + x – 1, remainder p(2) (1) p (2) = (2)² + 2 – 1 = 5 (1) For x – 2 to become a factor of p (2) must be equal to zero. For p (2) = 0 here we have to substract 5 from p(x). (1) That is, add –5 to p(x) for (x – 2) become a factor. (1)

What number should be added to the polynomial p(x) = x2 + x – 1, so that (x – 2)is a factor of the new polynomial.

Answer»

p (x) = x² + x – 1, remainder p(2) (1)

p (2) = (2)² + 2 – 1 = 5 (1)

For x – 2 to become a factor of p (2) must be equal to zero.

For p (2) = 0 here we have to substract 5 from p(x). (1)

That is, add –5 to p(x) for (x – 2) become a factor. (1)

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What number should be added to the polynomial p(x) = x2 + x – 1, so that (x – 2)is a factor of the new polynomial.

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