Question

If the polynomial p(X)=X ^4-3x square+5x+3 is divisible by X square -2,the remainder is ax+b.find the quotient,a and b​

Answer 1

Answer:

q(x) = x² - 1

a = 5

b = 1

Step-by-step explanation:

p(x) = x⁴ - 3x₂ + 5x + 3

g(x) = x² - 2

When p(x) is divided by g(x), the quotient is q(x) = x² - 1 and the remainder is 5x + 1.

The given remainder was ax + b

Thus, a = 5, b = 1.

For the long division process, refer attachment.