Q5 of 13 Page 36

If the polynomial is divided by another polynomial the remainder comes out to be find and

We know that,

=


And ,


=



So,


Either


Put


= 2k = 10


= k =


Put


= 10 – a – 8 × 5 + 25 = 0


= 10 – a – 40 + 25 = 0


= - 5 – a = 0


= a =


Hence,


More from this chapter

All 13 →
1

Verify that the numbers given alongside of the cubic polynomials below are their zeroes. Also verify the relationship between the zeroes and the coefficients in each case:

(i)


(ii)

2

Find a cubic polynomial with the sum, sum of the product of its zeroes taken two at a time, and the product of its zeroes as 2, -7, -14 respectively.

 3

If the zeroes of the polynomial are find and

4

If two zeroes of the polynomial are find other zeroes.