Classifying Polynomials
State the degree of the polynomial
f(x)= 5x2 - 3x4 + 12x - 3
4
Describe the end behavior of the function: y = x2
as x--> -Infinity as x--> + Infinity
y ---> + Infinity y ---> + Infinity
Evaluate f(x) = 4x -2, when x = 5
18
( 3x - 5) + ( 5x + 7)
8x +2
( x - 4) (x + 5)
x2 + x - 20
Classify the type of polynomial f(x)= 3x2 + 4x
Quadratic
Describe the end behavior of the function: y = -x3
as x--> -Infinity as x--> + Infinity
y ---> + Infinity y ---> - Infinity
Evaluate f(x) = 2x2 + 3x -5, when x = 2
9
( 4y - 5) - ( 5y - 1)
-y - 4
( 2x - 3)( 3x - 4)
6x2 -17x +12
Classify the type of polynomial f(x) = 4x
linear
Describe the end behavior of the function: y = -3x2 + 4x + 1
as x--> -Infinity as x--> + Infinity
y ---> - Infinity y ---> -Infinity
Evaluate f(x) = 2x3 -5x2 +16, when x = -4
-192
(3x3-2x2+4x)-(12x2-3x-4)
3x3 -14x2 + 7x + 4
( x + 1)(x2 - 2x -8)
x3-x2-10x -8
Classify the Leading Coefficient
f(x) = 3x - 2x4 + 3x2 - x5
Leading Coefficient is -1
Describe the end behavior of the function: y = 7x3 + 2x2 - 10x + 9
as x--> -Infinity as x--> + Infinity
y ---> - Infinity y ---> + Infinity
Evaluate q(x) = 7x4 -10x2 + 14x -26, when x = -7
(12x5-3x4-5)+(8x4-3x3+4x)
12x5 +5x4 - 3x3 +4x - 5
( x2 -2 )( x2 -3x -5)
x4 -3x3-7x2+6x +10
State the degree and leading coefficient of
p(x)=3x2 + 8 - x5 - 7x3
Degree = 5
Leading Coefficeint = -1
Describe the end behavior of the function y = 7x3 + 5x4 + 8x
as x--> -Infinity as x--> + Infinity
y ---> + Infinity y ---> + Infinity
Evaluate g(x) = -x3 + 3x2 +5x + 1, when x = -12
2101
(-9x3+5x+6)-(2x4-3x3-x)
-2x4 - 6x3 + 6x + 6
( 3x3 -9x + 7)( x2 -2x +1)
3x5 -6x4 -6x3+25x2-23x+7