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2. Polynomials
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Q6 of 109 Page 2

If the zeros of the polynomial are in A.P., find the value of k.

Let are the zeros of the given polynomial.


Sum of the zeros =


⇒ =


⇒ =


⇒ =


Since is the zero of the polynomial, therefore



On substituting =





⇒


More from this chapter

All 109 →
4

Find the condition that the zeros of the polynomial may be in A.P.

5

If the zeros of the polynomial are in A.P., prove that .

1

Apply division algorithm to find the quotient q(x) and remainder r(x) on dividing f(x) by g(x) in each of the following:

(i)


(ii)


(iii)


(iv)

2

Check whether the first polynomial is a factor of the second polynomial by applying the division algorithm:

(i)


(ii)


(iii)

Questions · 109
2. Polynomials
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