Part d question 3

3. State if each of the following statements are true (T) or false (F) by circling the appropriate letter. (3 marks) a) x - a is a factor of a polynomial f(x) if f(a) = 0. T F b) In any polynomial function, the exponents on the variable must be a whole number. T F c) Given the function f (x) = (x + 2) (x - 3) (5 - x), the lead coefficient is positive. T F d) When performing long division of polynomials by a linear binomial, the degree of the remainder is always smaller than the degree of the divisor. T F e) All even quartic polynomials have at least one real solution. T F f) If the remainder of long division is zero, both the divisor and the quotient are the factors of the dividend. T F