Polynomials Quiz

Polynomials Quiz: Master degrees, roots, terms, and graphs! Practice algebra skills.

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