if the polynomial 6x^4 + 8x^3 - 5x^2 + ax + b is exactly divisible by the polynomial 2x^2 - 5, then find the values of a and b.

Question

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

Answer 1

If p(x) = 6x⁴ + 8x³ - 5x² + ax + b

q(x) = 2x² - 5

The value of x = -20 and b = 25.

Answer 2

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