Polynomials
Write the polynomial equation in standard form:
-x + 2 + 5x2 - 10x3 - x4
-x4 - 10x3 + 5x2 - x + 2
How many year(s) has Ms. Kang taught for?
1 year
Factor: 2x2 - 30x + 100
2(x-5)(x-10)
Use synthetic division to evaluate
f(x) = -x3 + 2x2 + x + 1 when
x = 2
f(2) = 3
(-3x4 - 2x2 + 3x - 4) + (x2 - 5x - 9)
-3x4 - x2 - 2x - 13
Describe the end behavior of a polynomial with:
degree: 5
leading coefficient: -10
as x > negative infinity, f(x) > positive infinity
as x > positive infinity, f(x) > negative infinity
Subtract -3x4 + 2x2 - 5 from 10x4 - 7x3 + 6x2 + 10
13x4 - 7x3 + 4x2 + 15
Factor: 4p3 + 8p2 + 3p + 6
(4p2 + 3)(p + 2)
Use synthetic division to divide:
2x3 - 5x2 - 4x - 25 and x - 4
*I need to see proper notation for the answer
2x2 + 3x + 8 + (7/x-4)
f(x) = -4x4 + 3x2 + 10 when x = 2
f(2) = -42
What is the degree of the polynomial equation:
y = -2 + x-2 - 10x3
no degree because of the negative exponent
Find the product of 8x - 7 and 2 - 6x + 9x2
72x3 - 111x2 + 58x - 14
Factor: 6x5 - 750x2
6x2 (x- 5)(x2 + 5x + 25)
What is one activity Ms. Kang did over break?
bouldering, traveled to Hawaii
Factor: -16x3 - 54
-2(2x - 3)(4x2 + 6x + 9)
Draw AND describe the graph for a polynomial equation that has:
degree: 3
leading coefficient: -0.5
as x > negative infinity, f(x) > positive infinity
as x > positive infinity, f(x) > negative infinity
Use Pascal's to expand: (x + 3)4
x4 + 12x3 + 54x2 + 108x + 81
Factor 625x4 - 256
(25x2 + 16)(5x - 4)(5x + 4)
Determine whether n + 8 is a factor of
f(x) = x4 + 8x3 - 2x - 10
No it is not
*prove using synthetic division
Use long division to perform:
x3 - 4 is divided by x + 2
x2 - 2x + 4 + (-12/x+2)
What is Ms. Kang's go-to snack?
xxtra spicy hot cheetos
Use long division to divide:
x3 + x and x - 1
x2 + x + 2 + (2/x-1)
Show that x - 6 is a factor of
f(x) = x3 - 5x2 - 6x
Then, factor
(x-6)(x)(x+1)
Show that x - 5 is a factor of
f(x) = x3 - 5x2 + 2x - 10
(x2 + 2)(x-5)
(1 - x)5
-x5 + 5x4 - 10x3 + 10x2 - 5x + 1