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Quintessential Quadratics

Differing Divisions

That behavior has to end

In tennis these are loves

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Row 1, Col 1

Find the x intercepts off(x)=x2+x-6

x=-3 and x=2

1,2

Divide 8x2-18x-3by 2x-3

4x-3 + 12/(2x-3)

1,3

What is the right hand andleft hand behavior of the graph

f(x)=10x5+5x3-43x+127?

LHB down to neg infinity, RHB to pos infinity

1,4

Factor 2x3-32x

x(x-4)(x+4)

2,1

What is the vertex off(x)=x2+2x+1?

(-1,0)

2,2

Use synthetic division to divide2x3-3x+4by x+3

2x2 - 6x + 15 – 41/(x+3)

2,3

What is the right hand andleft hand behavior

of the graphf(x)=2(-x2+27x+9)?

LH and RH both go down to neg infinity

2,4

Find all real zeros off(x)=x3+x2-12x

x=-4, x=0, x=3, y=0

3,1

Find the equation of a parabolawith a vertex of (2,3)

and x intercepts of (-3,0) and (7,0)

(-3/25)(x-2)2+3

3,2

Use synthetic division to evaluatef(x)=3x3-2x+10

at f(-2)

f(-2)= -10 OR (-2,-10)

3,3

Is the right hand behavior ofg(x)= -3x7-13x3+10x+20

the same asthe right hand behavior ofh(x)=3x4+-13x3+11x2+16?

Why?

No g(x) goes down and h(x) goes up

3,4

List the possible rational zeros of f(x)=6x4+3x3-10x2+3

Factors 6/Factors 3 so there are 8 solutions ±1, ±2, ±3, ±6, ±1/3, ±2/3

4,1

Find 2 positive real numbers whoseproduct is a maximum and the sum

of the first number and3 times the second is 42?

7 and 21

4,2

Is (3x3+5x2-7x+6)/(x+4)is equivalent to

3x2-7x+21+(79/(x+4))?Show Work.

No it is not 79 should be 78 work shown

4,3

Odd degree polynomials are similarto ______ while even degree

polynomials are similar to______ (in terms of end behavior)

Lines Parabolas

4,4

What are rational zeros forthe graph f(x)= x2-3x+5?

(Buy hint -100 pts)

There are none or empty set

5,1

DAILY DOUBLE!Wager between 100-1000pts

5.5 feet (must have feet)

5,2

Which of the these twois -3+(4/(x-3))equivalent to?

A: (-3x-5)/(x-3)B: (2x-4)/(x-3)

Show work.

A. With work shown

5,3

Finish this sentence:"If the degree of a polynomial

is odd and the leading coefficientis negative then

__________________________"

LHS goes to pos infinity and RHS to neg infinity

5,4

Create a polynomial withzeros at x=-2, x=3, and x=7.

(x+2)(x-3)(x+7)