Graphing Polynomials

SELECT ALL the zeros of f(x) = (x + 4)(x - 7)?

• -4 and 7

• 4 and -7

• (-4, 0) and (7, 0)

• (4, 0) and (-7, 0)

Tags

CCSS.HSF-IF.C.7C

The solutions of h(x) are -1 and 3. What is the equation?

• h(x) = (x - 1)(x + 3)

• h(x) = (x + 1)(x - 3)

• h(x) = (x - 1)(x - 3)

• h(x) = (x + 1)(x + 3)

Tags

CCSS.HSA.APR.B.3

What x - intercept has a multiplicity of 3 for this function?

 $f\left(x\right)=\left(x-3\right)\left(x-1\right)^3$  

• -1

• 1

• 3

Tags

CCSS.HSF-IF.C.7C

How many turning points does this polynomial have?

• 1

• 2

• 3

• 4

What is the degree of this polynomial?

• 1

• 2

• 3

• 4

What are the x-intercept(s)?

• -1 and 2

• 1 and -2

• -4

What is the y-intercept?

• -1 and 2

• 1 and -2

• -4

The leading coefficient is ____________.

• Positive

• Negative

• Zero

• Cannot be determined

The algebraic representation for the graph shown is f(x) = _____________. (We will solve for a later).

• a(x+1)²(x-2)

• a(x-1)²(x+2)

• a(x-1)(x+2)²

• a(x+1)(x-2)²

Tags

CCSS.HSA.APR.B.3

The algebraic representation is f(x) = a(x+1)(x-2)². Solve for a using the point (0,-4).

• 1

• -1

• 4

• -4

Tags

CCSS.HSA.APR.B.3