3rd column

Operations with Polynomials

100

Simplify : 4x(2x³-7x²+x)

8x⁴-28x³+4x²

200

Simplify: (6x²+7) + (3x²+1)

9x²+8

300

(2k²-k+3) - (5k²+3k-7)

-3k²-4k+10

400

Simplify: (6t²+1)²

36t⁴+12t²+1

500

What is the remainder when  2x³+x²-6x-8 is divided by (x-2)

The remainder is 0

Factoring Polynomials

100

factor m2-11m+18

(m-9)(m-2)

200

If (x+2) is a factor of 4x³+19x²+19x-6, what is the other factor?

4x²+11x-3 which can be factored more to (4x-1)(x+3)

300

Factor 36x²-49

(6x-7)(6x+7)

400

Factor 27y³-8

(3y-2)(9y²+6y+4)

500

Factor x⁴-5x²+4

(x²-4)(x²-1)

Graphing Polynomiaks

100

How do you idetinfy the end behaviors of a function?

Look at the highest degree of the polynomial and the leading coefficient

200

How do you determine the roots of a polynomial function?

Factor the polynomial (if I give you a zero or one of the factors you use synthetic or long division)

300

Find all the zeros of f(x)= -x⁴+4x³-4x².

x=0 and x=2

400

how many zeros does the polynomial f(x)=7x⁴+6x³-5x+7 have?

4; all you need to do is look at the highest degree and that tells you how many zeros.

500

Given f(x)=(x-4)(x+1)(x+3) Find all the zeros.

x=4, x=-1 and x=-3