High School Practice Problems
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Mendham High School
Ixl Algebra 2
Polynomial Functions and Equations Quiz
1. What is the degree of the polynomial equation 3x² + 2x⁴ + 7x - 1?
4
5
3
2
2.Simplify the expression: (2x² + 3x - 5) - (x² + 2x + 1).
x² + x - 12
x³ + 1x - 6
x² + x - 6
x³ + x - 6
3.Simplify the expression: (3x² + 2x - 5)(2x + 3)
4x² + x² - x - 15
6x³ + 13x² - 4x - 15
5x³ + 11x² - 8x - 17
x² + 5x² - 4x
4.Simplify the expression: 4(x³ - 2x² + 3x - 1) - 3(2x² - 4x + 2).
x³ - 4x² + 2x - 9
4x² - x² + 4x - 10
6x³ - 15x² + 22x - 12
4x³ - 14x² + 24x - 10
5. Find the real roots of the polynomial function f(x) = 10x³ - 5x² + 6x - 3.
1
1.5
-1.5
.5
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.
x² - 2x + 3
6x² - x + 2
x³ + x + 1
1/2x² - 5x + 1
7. Find the remainder when you divide the polynomial P(x) = 2x³ - 5x² + 3x + 7 by x + 1.
2
-3
No remainder
-2
8. Given the polynomial function f(x) = 2x³ - 5x² + 3x + 4, find the value of f(2).
3
4
5
6
9. Given the polynomial function f(x) = x³ - 6x² + 11x - 6, determine the zeros of the function. (Use a graphing calculator)
x = 2, x = 6, and x = 7
x = 5, x = 0, and x = 1
x = 3, x = 1/2, and x = 4/3
x = 1, x = 2, and x = 3
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).
f(x) = (x + 2)(x - 1)(x - 3)
f(x) = (x + 7)(x - 1)(x - 8)
f(x) = (x + 5)(x - 2)(x - 3/2)
f(x) = (x + 3)(x - 2)(x - 1/2)
Press the Submit button to see the results.