Q. 24.4( 243 Votes )

# Check whether the first polynomial is a factor of the second polynomial by dividing the second polynomial by the first polynomial:

(i)

(ii)

(iii)

Answer :

(i) t^{2}-3 = t^{2}+0t-3

Since the remainder is 0,

Hence, t^{2} – 3 is a factor of 2t^{4}+3t^{3}-2t^{2}-9t-12.

_{(ii)}

Since the remainder is 0,

Hence, x^{2}+3x+1 is a factor of 3x^{4}+5x^{3}-7x^{2}+2x+2.

_{(iii)}

Since the remainder ≠0,

Hence, x^{3}-3x+1 is not a factor of x^{5}-4x^{3}+ x^{2}+3x+1.

Rate this question :

How useful is this solution?

We strive to provide quality solutions. Please rate us to serve you better.

RELATED QUESTIONS :

Obtain all other zeros of (x^{4} + 4x^{3} ‒ 2x^{2} ‒ 20x ‒15) if two of its zeros are √5 and – √5.