Polynomial Functions and Equations Quiz

1. What is the degree of the polynomial equation 3x² + 2x⁴ + 7x - 1?












2.Simplify the expression: (2x² + 3x - 5) - (x² + 2x + 1).












3.Simplify the expression: (3x² + 2x - 5)(2x + 3)












4.Simplify the expression: 4(x³ - 2x² + 3x - 1) - 3(2x² - 4x + 2).












5. Find the real roots of the polynomial function f(x) = 10x³ - 5x² + 6x - 3.












6. Given the polynomial function f(x) = x³ + 3x² + 3x + 2, perform long division to find the quotient when f(x) is divided by x + 2.












7. Find the remainder when you divide the polynomial P(x) = 2x³ - 5x² + 3x + 7 by x + 1.












8. Given the polynomial function f(x) = 2x³ - 5x² + 3x + 4, find the value of f(2).












9. Given the polynomial function f(x) = x³ - 6x² + 11x - 6, determine the zeros of the function. (Use a graphing calculator)












10. Find the equation of the polynomial function of degree 3 that satisfies the following conditions:

    Zeros at x = -2, x = 1, and x = 3.

    Passes through the point (4, 18).













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