Miscellaneous Polynomials
Adding Polynomials
Subtracting Polynomials
Multiplying Polynomials
Graphs of Polynomials
100
What is the degree and type of polynomial?
x4 + 4x3 +2
degree 4
trinomial
100
Add the Polynomials
(4x + 9) +(x - 4)
5x + 5
100
Subtract the polynomials:
(g - 4) - (3g - 6)
-2g + 2
100
Multiply the Polynomials:
3x2 (2x4)
6x6
100
What are the "zeros" of a polynomial?
Where it crosses or touches the x-axis.
200
Write the polynomial in standard form.
6x3 + 5x - 2x2 +1
6x3 - 2x2 + 5x + 1
200
Add the polynomials:
(-3a - 2) + (7a + 5)
4a + 3
200
Subtract the polynomials:
(-5h - 2) - (7h +6)
-12h - 8
200
Multiply the Polynomials:
(x - 3)(x + 2)
x2 - x - 6
200
Find the zeros:
(x + 4)(x - 6) = 0
x = -4 and x = 6
300
Simplify and write in standard form.
2(5x + 3) + 4(x - 1)
14x + 2
300
Add the polynomials:
(x2 +3x + 5) + ( -x2 +6x)
9x + 5
300
Subtract the polynomials:
(-x2 - 5) - (-3x2 -x -8)
2x2 + x +3
300
Multiply the Polynomials:
(2m - 1)(m + 2)
2m2 + 3m - 2
300
State whether the degree of the function is even or odd, and state whether the leading coefficient is positive or negative.
odd and positive
400
Simplify and write in standard form.
(8x^4+4x^2)/(2x^2)
4x2+2
400
Add the polynomials:
(a2 + 3a3 -3) + (2a2 +7a -2a3)
a3 +3a2 +7a -3
400
Subtract the Polynomials:
(k2 + 6k3 -4) - (5k3 + 7k -3k2)
k3 + 4k2 -7k -4
400
Multiply the Polynomials:
(4n - 1)2
16n2 - 8n + 1
400
State whether the degree of the function is even or odd, and state whether the leading coefficient is positive or negative.
even and negative
500
Simplify and write in standard form.
5(3x^2+x)+(6x-9)/3
15x2 + 7x - 3
500
Add the polynomials:
(-1 + x2 + 2x) + (1 -2x + 2x2)
3x2
500
Subtract the Polynomials:
(2x - 3x) - (x2 -2x + 4)
-x2 + x - 4
500
Multiply the Polynomials:
(d + 3)(d2 - 4d + 1)
d3 - d2 -11d + 3
500
Describe the end behavior.
As x approaches positive infinity, f(x) approaches negative infinity.
As x approaches negative infinity, f(x) approaches positive infinity.