Describe the Relationships Among Solutions of an Equation, Zeros of a Function

Which does not describe the zeros of a polynomial?

• Where a graph crosses the x-axis

• Also known as the roots

• Where x=0

• The solution when a factor is set equal to zero

Tags

CCSS.HSF-IF.C.7C

There is always a zero on a polynomial if...

• Points to the left and right are both positive

• Points to the left and right are both negative

• One point either to the left or right is zero

• The x-value is zero

• Points to the left and right have opposite signs

Which of the following is a completely factored polynomial?

• f(x)=2x⁴-3x³+8x-6

• f(x)=x²(x-1)(x+3)

• f(x)=x(x²-16)

• f(x)=(2x+1)(x²-3x-18)

How are factors related to x-intercepts?

• They are the same

• They are not related

• x-intercepts are found by setting the factors=0

• x-intercepts are found by setting x=0

Tags

CCSS.HSF-IF.C.7C

How is the constant term of an equation in standard form related to the graph?

• It is the y-intercept

• It is the x-intercept

• It is the multiplicity

• There is no relationship

Tags

CCSS.HSF-IF.C.7A

Which best describes the multiplicity of a root?

• It is the number of times the corresponding factor is repeated

• It is the highest degree of the polynomial

• It is the number of times x is multiplied by itself

• It is the number of x-intercepts on a graph

Tags

CCSS.HSF-IF.C.7C

Which of the following is a quartic polynomial?

• g(x)=x(x-2)(x+3)

• g(x)=x²(x-2)(x+3)

• g(x)=x²(x-2)(x+3)(x+1)

• g(x)=x³+3x²-5x+7

The sum of the multiplicities of a polynomial is equal to...

• the number of roots

• the constant term

• the leading coefficient

• the degree of the polynomial

Tags

CCSS.HSF-IF.C.7C

Which of the following is not true about the polynomial function represented by the table above?

• There is a zero between -1 and 0

• There is a zero at -3

• There is a zero at 1

• There is a zero between 2 and 4

• All these statements are true

Tags

CCSS.HSF-IF.C.7C

Where is the root with multiplicity of 2?

• between -1 and 0

• 1

• between 2 and 4

• there is no root with multiplicity 2

Tags

CCSS.HSF-IF.C.7C