Exercise 3. Find all polynomial pE P(R) such that p(2?) = (2² + 1)p(2). You should first find the degree of such a polynomial.

Consider the following higher degree polynomial function f(x) = -2x² (5-2x) (x² + 1). a) What is the degree of this function? b) How many zeros does this function have? c) State the coordinates of the y-intercept.

Identify the following for the polynomial function: i) ii) iii) iv) g(x)=x (3x+4) (-2x+1)(x-5) the degree the value of the leading coefficient a zero which is negative the end behaviour

Consider the polynomial defined by p(x) = (x − a)(x − b) ... (x − z). a. How many additions and multiplications are involved in this calculation? Explain. b. Calculate p(7).