Question

Using long division method, check whether the second polynomial is the factor
of the first polynomial.
- 16;X+2
t-1 +37² – 22+2:22 +2​

Answer 1

(i) t2−3,2t4+3t3−2t2−9t−12

Remainder is 0, hence t2−3 is a factor of 2t4+3t3−2t2−9t−12

(ii) x2+3x+1,3x4+5x3−7x2+2x+2

Remainder is 0, hence x2+3x+1 is a factor of 3x4+5x3−7x2+2x+2

(iii) x3−3x+1,x5−4x3+x2+3x+1

Remainder is 2, hence x3−3x+1 is not a factor of x5−4x3+x2+3x+1

I hope IT'S HELPFUL for you