Q23 of 109 Page 3

If fourth degree polynomial is divided by a quadratic polynomial, write the degree of the remainder.

Degree of reminder is less than the degree of divisor so the degree of reminder could be one or zero depending on the quadratic polynomial.

Give an example of polynomials f(x), g(x), q(x) and r(x) satisfying f(x) = g(x) .q(x)+ r(x), where degree r (x) = 0.

Write a quadratic polynomial, sum of whose zeros is 2√3 and their product is 2.

If f(x) = x³ + x² – ax + b is divisible by x² – x write the values of a and b.

If a – b, a and a + b are zeros of the polynomial f (x) = 2x³ – 6x² + 5x – 7, write the value of a.