Polynomials Linear Factors and Zeros

Determine the linear factors of the polynomial function whose zeros are 0, -1, and -3.

Mathematical Equivalence

ON

Tags

CCSS.HSF-IF.C.7C

Find the zeros of the polynomial f(x) = 2x³ + 5x² - 3x

• x = 0, 1/2, 3

• x = 1/2, -3

• x= 0, 1/2 , - 3

• x = 0, -1/2, 3

Tags

CCSS.HSF-IF.C.7C

What is the multiplicity of the zero x = -5 for the function f\left(x\right)=x^2\left(x-1\right)^4\left(x+5\right)?

• 1

• 2

• 3

• 4

Tags

CCSS.HSF-IF.C.7C

Find the zeros: y = x(x - 1)(x + 3)

• 0, 1, -3

• -3, 1

• -1, 3, 0

• -1, 3

Tags

CCSS.HSF-IF.C.7C

What is the definition of Zeros, Roots, and Solutions?

• Any point where y is 0, also know as x-intercepts.

• the point of intersection of lines or the point opposite the base of a figure

• When the arrows point down and your a-value is negative.

• All of your x-values. For parabolas, it is all real numbers UNLESS it is a real world example.

Tags

CCSS.HSF-IF.C.7C

A graph of a polynomial equation of degree 5 has three real x-intercepts (touches the x- intercept at 3 different points). Check off ALL the possible situations of what type of roots they could be.

• Double Root, Double Root, Triple Root

• Single Root, Double Root, Double Root

• Single Root, Single Root, Single Root, Two Imaginaries

• Single Root, Single Root, Double Root, Imaginary

• Single Root, Triple Root, Single Root

What is another way to say "where a function crosses the x-axis"?

• x-intercept

• zero

• root

• all of these.

Tags

CCSS.HSF-IF.C.7C

• 2

• 1

• 4

• 3

Tags

CCSS.HSF-IF.C.7C

What are other names for zeros

• x -intercepts

• roots

• axis of symmetry

• vertex

• A

• B

• C

Tags

CCSS.HSF-IF.C.7C