Q2 of 44 Page 70

Check in which case the first polynomial is a factor of the second polynomial by dividing the second polynomial by the first polynomial.

x2 + 3x + 1, 3x4 + 5x3 – 7x2 + 2x + 2

p(x) = 3x4 + 5x3 – 7x2 + 2x + 2

g(x) = x2 + 3x + 1


On dividing them,



The remainder is 0

Hence, yes x2 + 3x + 1 is a factor of 3x4 + 5x3 – 7x2 + 2x + 2

More from this chapter

All 44 →
1

Divide the polynomial p(x) by the polynomial g(x) and find the quotient and remainder in each of the following:

p(x) = x4 – 5x + 6, g(x) = 2 - x2

 2

Check in which case the first polynomial is a factor of the second polynomial by dividing the second polynomial by the first polynomial.

t2 – 3, 2t4 + 3t3 – 2t2 – 9t - 12

 2

Check in which case the first polynomial is a factor of the second polynomial by dividing the second polynomial by the first polynomial.

x2 - 3x + 1, x5 - 4x3 + x2 + 3x + 1

 3

Obtain all other zeroes of 3x4 + 6x3 – 2x2 – 10x – 5,

if two of its zeroes are and