Algebra 2 Polynomials Quiz

Master Algebra 2 Polynomials! Quiz covers classification, roots, graphs & more.

Classify each polynomial by the degree and the number of terms. Cubic, Polynomial Constant, Monomial Quadratic, Trinomial Quartic, Binomial Linear, Binomial Sort the characteristics of the polynomial f(x) = x5 + 3x2 - 5x -2 Domain all real numbers (b it goes on forever left and right) Range all real numbers (b it goes on forever up and down) Increasing Intervals neg infinity to -1.26 0.67 to pos infinity Decreasing Intervals -1.26 to 0.67 Relative Maxes (-1.26, 5.89) Relative Minimums (0.67, -3.87) Zeros -1.73 -0.33 1.28 Intercepts -2 End Behavior as x approaches neg infinity, y approaches neg infinity as x approaches pos infinity, y approaches pos inifity What are the zeros of the function f(x) = (x - 3)(x + 7)? -3 and 7 3 and -7 -3 and -7 3 and 7 What are the roots of the functions g(x) = x(x + 1)(x + 8)(x - 4)? -1, -8, 4 1, 8, -4 0, 1, 8 , -4 0, -1, -8, 4 Write the function that has the following roots: 6, -5, and 2. f(x)=(x+6)(x-5)(x+2) f(x)=(x-6)(x-5)(x-2) f(x)=(x-6)(x+5)(x-2) f(x)=2(x-6)(x+5) Write the function that has the following roots: 1 and 3. g(x)=(x-1)(x-3) g(x)=(x+1)(x+3) g(x)=x(x-3) g(x)=(x-1)(x+3) What is the factored form of the function represented by the graph? f(x)=(x-2)(x-0)(x+3) f(x)=(x+2)(x-3) f(x)=x(x+2)(x-3) f(x)=(x-2)(x+3) How many roots does the following graph have? 1 real root 1 real root and 1 imaginary root 2 imaginary roots 1 real root and 2 imaginary roots Using the graph, what is the degree, how many real roots, and how many imaginary roots? Degree 5 Real Roots 3 Imaginary Roots 2 Answer the following A B C D Answer the following: A B C D Use the graph to determine the degree, number of real roots, and number of imaginary roots. Degree 7 Real Roots 3 Imaginary Roots 4