Question

forvwhat value of a and b be polymonial 10x^4 +17x​

Answer 1

Let (10x

4

+17x

3

−62x

2

+30x−3) be f(x) and (2x

2

+7x−1) be g(x).

f(x)=g(x)×q(x)+r(x) where q(x) is quotient and r(x) is the remainder.

2x

2

+7x−1)10x

4

+17x

3

−62x

2

+30x−3(5x

2

−9x+3

(−)10x

4

+35x

3

−5x

2

−18x

3

−57x

2

+30x

(−)−18x

3

−63x

2

+9x

6x

2

+21x−3

(−)6x

2

+21x−3

0

Therefore, quotient is 5x

2

−9x+3.