advertisement

Algebra 2 Polynomials Review (5.1-5.3) Name_____________________________________ Part 1: Write each polynomial in standard form (descending exponents). Then classify it by degree (linear, quadratic, etc.) and by number of terms (monomial, binomial, etc.). a) 4x3 3 + 2x2 b) 8 x5 + 9x2 2x c) 6x + 2x4 2 d) 3 + 24x2 Part 2: Identify the end behavior of the graph of each polynomial function. Use proper notation! Then, write a sentence describing how you were able to determine the end behavior, given the equation. a) y = 5x3 2x2 + 1 d) y = 3x2 + 9 x3 b) y = 5 x + 4x2 e) y = 8x2 4x4 + 5x7 2 c) y = x x2 + 10 f) y = 20 x5 Part 3: a) Determine the sign of the leading coefficient and the degree of the polynomial. Then, describe how you know these characteristics, given the graph. b) Part 4: Use your calculator to identify the turning points (relative max/min) of the functions and record all intervals of increasing/decreasing a) f(x) = 3x3 + 10x2 + 6x 3 b) f(x) = x3 + 4x2 x + 1 Part 5: Find the zeros of each function. Then graph the function with correct end behavior. Make a table of values to help you plot more points in between the x-intercepts, if need be. b) y = x(x 1)(x + 3) a) y = (x + 2)(x + 3) y y x x