Adding/Subtracting Polynomials
Multiplying Polynomials
polynomial graphs
Division/Remainder
Factoring Polynomials
100

Add the Polynomials

(4x + 9) +(x - 4)

5x + 5

100

Multiply the Polynomials:

3x2 (2x4)

6x6

100

What is the degree and leading coefficient?

f(x)=-5x^5+3x^3-3x+1

D:5

LC:-5

100

What would I put on the outside of the synthetic division box when dividing by (x - 4)

4

100

Factor the polynomial:

x3+7x2+10x

x(x+5)(x+2)

200

Subtract the polynomials:

(-5h - 2) - (7h +6)

-12h - 8

200

Find the result when 3x3+4x2-5x-2 is divided by x+2.

3x2 - 2x -1

200

What do we know about the leading term of this graph?


Degree: Even

L.C.: Positive

200

What would I put in the synthetic division box when I divide 3x^5 - 2x^3 +x^2 - 5x + 12

3  0  -2  1  -5  12

200

Factor the polynomial:

9x3+6x2-3x

3x(3x-1)(x+1)

300

Add the polynomials:

(x2 +3x + 5) + ( -x2 +6x)

9x + 5

300

Multiply the Polynomials:

(2m - 1)(m + 2)

2m2 + 3m - 2

300

Describe end behavior (using infinity)


As x  -∞, f(x)  ∞

As x  ∞, f(x)  ∞

300

What is the solution to this division problem? 


(x^2 - 10x +21)  divided by   (x - 3) ?

(x - 7)

300

Factor the polynomial and find the zeros:

3x3+12x2-3x=12

x=-4,-1,1

400

Add the polynomials:

(t2 + 3t3 -3) + (2t2 +7t -2t3)

t3 +3t2 +7t -3

400

Multiply the Polynomials:

(d + 3)(d2 - 4d + 1)

d3 - d2 -11d + 3

400

Describe End Behavior (using infinity)

As x  -∞, f(x)  ∞

As x  ∞, f(x)  -∞

400

What is the remainder of this division problem? 


(x3 - 2x2+ x - 5)    divided by  (x - 2 )

- 3

400

Factor the polynomial to find the zeros. You may need to use the quadratic equation.

12x3=60x2+75x

x=0, (5 +/- 5sqrt2) /2

500

Subtract the Polynomials:

(k2 + 6k3 -4) - (5k3 + 7k -3k2)



k3 + 4k2 -7k -4

500

Find the result when x4-10x2+11 is divided by x+1.

x^3-x^2-9x+9+2/(x+1)

500

Describe the following for the graph:

Leading coefficient, degree, zeros, y intercept


L.C.: positive

Degree: even

Zeros: -3, 2, 5

Y-int: -2

500

What would the quotient be when I divide 


(3x4 - 5x2 - 7x + 1)     by (x - 2)

3x3 + 6x2 + 7x + 7 + 15/(x-2)

500

Factor the polynomial to find the zeros. 

x3+1=x2+x

x=-1,1

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