Polynomial Functions and Solving Polynomial Equations

What are the x-intercepts of

y= x² - 9x + 14 ?

• (-7,0) and (-2,0)

• (7,0) and (-2,0)

• (7,0) and (2,0)

• (9,0) and (-14,0)

Find the y-intercept of f(x) = 2x² - 2x + 1

• 2

• -2

• 1

• -1

What is a second degree polynomial equation?

• Linear Equations

• Quadratic Inequalities

• Quadratic Equations

• Quadratic Functions

Solve by factoring

x² + 10x = -25

• x = -5

• x = ±5

• x = 5

• x = 0

What is the equation of the parabola in vertex form

Which of these falls under Polynomial Expressions?

• Solving Quadratic Equations

• Adding and Subtracting Polynomials

• Radicals and Laws of Exponents

• Exponential Equations and Models

Olivia is solving the equation x^2 - 4x = -8 in her math class. Which statement gives the number and type of solutions for this equation?

• The equation has one real solution.

• The solutions can only be determined by graphing.

• The equation has two real solutions.

• The equation has two nonreal complex solutions.

Imagine Mason is analyzing a polynomial function f(x) = x^4 - 12x + 1 as part of his mathematics project. Including all real and imaginary solutions, how many solutions exist for this function?

• 0

• 1

• 2

• 4

Abigail is analyzing a graph in her mathematics class that represents a polynomial function. What is the lowest possible degree of the polynomial depicted in the graph?

• 3

• 4

• 5

• 6

During a mathematics competition, Priya is tasked with analyzing the polynomial (x^8 + 2x^5 - x^4 + 6). Which statement is true about this polynomial?

• It has exactly 4 roots, including any repeated roots, that must be real numbers.

• It has exactly 8 roots, including any repeated roots, that must be real numbers.

• It has exactly 4 roots, including any repeated roots, that may be either real or complex numbers.

• It has exactly 8 roots, including any repeated roots, that may be either real or complex numbers.