Operations with Polynomials
Simplify : 4x(2x3-7x2+x)
8x4-28x3+4x2
factor m2-11m+18
(m-9)(m-2)
How do you idetinfy the end behaviors of a function?
Look at the highest degree of the polynomial and the leading coefficient
Simplify: (6x2+7) + (3x2+1)
9x2+8
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)
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)
(2k2-k+3) - (5k2+3k-7)
-3k2-4k+10
Factor 36x2-49
(6x-7)(6x+7)
Find all the zeros of f(x)= -x4+4x3-4x2.
x=0 and x=2
Simplify: (6t2+1)2
36t4+12t2+1
Factor 27y3-8
(3y-2)(9y2+6y+4)
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.
What is the remainder when 2x3+x2-6x-8 is divided by (x-2)
Factor x4-5x2+4
(x2-4)(x2-1)
Given f(x)=(x-4)(x+1)(x+3) Find all the zeros.
x=4, x=-1 and x=-3