Solving Polynomial Equations

Front

When a polynomial equation has the factors (x+3)(x+3)(x-2), what is the multiplicity of x = -3?

Back

2

Front

When a polynomial has a repeated root, if the root is repeated an odd amount of times (ex. 1,3,5,...) then the graph

Back

crosses the x-axis, goes through the x-axis

Front

Solve the following equation: x⁴ + 4x³ + 3x² = 0

Back

x = 0, x = -3, x = -1

Front

Which of the following is a COMPLETE list of all possible Rational Zeros?
f(x) = x³ + 2x² - 6x + 8

Back

±1, ±2, ±4, ±8

Front

List all possible Rational Zeros for f(x) = 2x³ + 5x² - 9x + 5

Back

±1, ±5, ±1/2, ±5/2

Front

Which zero works for the polynomial f(x) = x³ + 2x² - 11x - 12? Options: -3, -4, 1, 6

Back

-4

Front

Solve by using Rational Root Theorem: x³ - 7x - 6 = 0

Back

-1, -2, 3

Front

Polynomial function with zeros 1, -6, 4 and leading coefficient of 1.

Back

x³+x²-26x+24

Front

Write a polynomial function f of least degree that has rational coefficients, a leading coefficient of 1, and the given zeros: 1, 2 − √—3.

Back

x³-5x²+5x-1