Polynomial Operations
Divide!
Graph Basics
Factor!
Roots --> Equations
101
This is the result when
(5x4 + 2x2 + 4x -1 )
and ( x5 + 2x4 -x -5 )
are added
(5x4 + 2x2 + 4x -1 )
and ( x5 + 2x4 -x -5 )
are added
What is x5 +7x4 + 2x2 + 3x - 6
101
This is the result when you divide
(3x2+7x-20) by (x+4)
(3x2+7x-20) by (x+4)
What is 3x-5
101
What is the end behavior of this function? f(x) = -9x5 -2x4 + x3 + 2x2 + 2x + 5
f(x) → +∞ as x → -∞ and
f(x) → -∞ as x → +∞
101
Factor 125x3 - 1
(5x - 1)(25x2 + 5x + 1)
101
This polynomial has integer coefficients and the roots 4 and -1/3
3x^2 - 11x - 4
200
( 7x5 - x4 + x3 + 2x2 - 1 )
- (- 2x5 + x4 + 2x - 10 )
- (- 2x5 + x4 + 2x - 10 )
What is ( 9x5 -2x4 + x3 + 2x2 - 2x + 9 )
200
This is the remainder when you divide
(3x3 -4x2 + 2x -1 ) by (x + 1)
What is -10
200
Draw a 5th-degree polynomial with a negative leading coefficient and only 3 real roots.
Answers will vary.
200
Factor by grouping: 12xy + 9x - 20y - 15
(3x - 5)(4y + 3)
200
Write the standard form polynomial with the roots -2 and sqrt(7)
x^3 + 2x^2 - 7x - 14
300
This is the product when
( x +3f) and ( x - 3f)
are multiplied
( x +3f) and ( x - 3f)
are multiplied
What is x2 - 9f2
300
This is the quotient when you divide
(8x3 -2x2 + 11x +3 ) by (4x + 1)
2x2 - x +3
300
This is the degree( odd/even) and the leading coefficient(positive/negative) of this graph
What is even/positive
300
Factor to find the zeros of the function
f(x) = x4 - 5x2 + 4
What are -2, -1, 1 and 2
300
Write the polynomial with root 2 - 3i
x^2 - 4x + 13
400
The product of
(w+4) and ( w2 + 6w -1 ) is
(w+4) and ( w2 + 6w -1 ) is
What is w3 +10w2 + 23w - 4
400
This is the quotient when you divide
(4x4-14x3 -5x2 - 30x - 7) by (x2 - 4x - 1)
4x2 + 2x + 7
400
What are the y-intercept and degree?
y = -2(x - 3)(x+4)2
What is (0, 96) and degree 3
400
Factor f(x) and find the zeroes:
f(x) = x3 -3x2 + x -3
What are 3, i and -i
400
Write the polynomial with roots 0 and -1 - sqrt(2)
x^3 + 2x^2 - x
500
This is the result of
(2x -3)3 when expanded.
(2x -3)3 when expanded.
What is 8x3-36x2 +54x -27
500
This is the answer when you divide
(2x4- 20x3 + 11x2 - 28x + 15) by (x2 - 10x + 4)
2x2 + 3 with remainder 2x + 3
500
What is the equation of the graph that Ms. Ockner will show?
Answers may vary.
500
Factor fully:
11g4 - 42g2t4 - 8t8
(11g2 +2t4)(g + 2t2)(g - 2t2)
500
Write the polynomial with the following roots: -2i, and 3 + i
x^4 - 6x^3 + 14x^2 - 24x + 40