Classify Polynomials
End Behavior
Polynomials
Factoring
Misc.
100
The name of a polynomial with three terms
Trinomial
100
where do I look to determine the right hand end behavior.
The sign of the leading coefficient
100
(u-4)-(6+3u2-4u)
-3u2+5u-10
100
Factor the polynomial
4n^2-36
4(n-3)(n+3)
100
2x3-19x2-16x+60
divide (x-10)
2x^2+x-6
200
What is the degree of a quintic polynomial.
5th degree
200
where do I look to determine the left hand end behavior.
whether the degree is odd or even
200
(z-7)(z+4)
z2-3z-28
200
factor
x^3-64
(x-4)(x^2+4x+16)
200
What is the interval/s that are increasing?
(-1,0) and (1.5,oo)
300
Name the Polynomial according to degree and number of terms.
f(x)=x4-3x2+6x
quartic trinomial
300
Does the left end behavior match the right end behavior? or is it opposite?
-5x4+9x-2
Matches
right end behavior is down.
Left is also down.
300
(g+5)+(2g+7)
3g+12
300
factor
216x4+8x
8x(3x+1)(9x^2-3x+1)
300
Name the negative intervals
(-oo ,-1.25) (1.75,3.4)
400
Name the Polynomial according to degree and number of terms.
f(x)=x4-3x2-x4+2x
Quadratic binomial
400
What is the end behavior of the graph?
3x^3-2x+10
Left down, right up
x to -oo, y to-oo
xto +oo, yto +oo
400
(a-5)2
a2-10a+25
400
Is (x+2) a factor of x3-5x2-12x-36
no the remainder is -40
400
f(3)= -x^4+2x^2-10
-73
500
Name the Polynomial according to degree and number of terms.
f(x)= x3+ 8 - x7- 5
7th degree trinomial
500
What is the end behavior of the graph? Describe using limit notation.
-4x^3+2x^2+6x-1
left--up: right--down
x to -oo, y to oo
xto +oo, yto -oo
500
m2n3(-4m2n2 - 2mnp - 7)
-4m4n5-2m3n4p - 7m2n3
500
Find at least 1 factor of
x3-7x2+36
factors are (x-3)(x+2)(x-6)
500
draw the graph
negative on intervals (-6,-2) and (3,∞)
positive on intervals (-∞,-6) and (-2,3)
increasing on intervals (-4, 2)
decreasing on intervals (-∞, -4) and (2,∞)
