Question

The value of P(t)= 2t4+5t3 -t 2+5 at t=-1 is (a) 5 (b) 1 (c) 3​

Answer 1

Answer:

(i) t

2

−3,2t

4

+3t

3

−2t

2

−9t−12

Remainder is 0, hence t

2

−3 is a factor of 2t

4

+3t

3

−2t

2

−9t−12

(ii) x

2

+3x+1,3x

4

+5x

3

−7x

2

+2x+2

Remainder is 0, hence x

2

+3x+1 is a factor of 3x

4

+5x

3

−7x

2

+2x+2

(iii) x

3

−3x+1,x

5

−4x

3

+x

2

+3x+1

Remainder is 2, hence x

3

−3x+1 is not a factor of x

5

−4x

3

+x

2

+3x+1