Question

10.If the polynomial 6x4
+ 8x3
+ 5x2
+ ax + b is exactly divisible by the polynomial
2x2
-5, the find the values of a and b.

Answer 1

Let us divide the polynomial

$(6 {x}^{4} + 8 {x}^{3} + 5 {x}^{2} + ax + b) \\ \div (2 {x}^{2} - 5)$

The remainder we obtain is x(a+20) + b + 50.
This remainder is equal to 0.

Therefore on rearranging a = 20 and b = -50

Answer 2

Answer:

Step-by-step explanation:

The remainder we obtain is x(a+20) + b + 50.

This remainder is equal to 0.

Therefore on rearranging a = 20 and b = -50