Multiplying
Simplify (2x2 + 4)(x + 1)
2x3 + 2x2 + 4x + 4
Divide (x2 + 2x + 1)/(x + 1)
x + 1
Factor 2x2 + 10x + 8
2(x + 1)(x + 4)
Find the zeros of 5x3 + 6x2 + x. (state multiplicity if more than 1)
-1, -1/5, 0 or -1, -0.2, 0
degree 4
Simplify (x3 + 5x - 3)(x2 - 2)
x5 + 3x3 - 3x2 - 10x + 6
Divide (2x2 + 7x - 1)/(x + 3)
2x + 1 - 4/(x + 3)
Factor x2 + 9x - 22
(x + 11)(x - 2)
Find the roots of x3 + 2x2 - 3x. (state multiplicity if more than 1)
-3, 0, 1
What is the leading coefficient of the polynomial
5x2 - 7x3 + 8
-7
If a garden has a length of x + 5 and a width of 2x, what is the area of the garden in terms of x?
2x2 + 10x
Divide (6y3 + 5y2 - 3y - 2)/ (2y + 1)
6y2 + 2y - 4 or 3y2 + y - 2
Factor x2 - 19x + 84
(x - 7)(x - 12)
Find the x-intercepts of x3 - 7x2 + 11x - 5. (state multiplicity if more than 1)
1 multiplicity 2, 5
What is happeneing at the ends of a polynomial with even degree and a positive leading coefficient?
both ends pointing up/ both ends going to infinity
If a garden has a width of x + 8 and a length of x2 - 4, what is the area of the garden?
x3 + 8x2 - 4x - 32
Divide (x4 + 5x3 - 11x2 - 25x + 29)/(x + 6)
x3 - x2 - 5x + 5 - 1/(x + 6)
Factor x3 - 2x2 - 4x + 8
(x + 2)(x - 2)(x - 2) or (x + 2)(x - 2)2
Find the zeros of x3. (state multiplicity if more than 1)
0 multiplicity 3
What is the maximum number of turns in a polynomial of degree 5?
4
The dimensions of your shoe box are as follows, length = x + 9, width = x3, and height x - 1. What is the volume of the shoe box?
x5 + 8x4 -9x3
Divide (2x3 - 5x - 7)/(x - 2)
2x2 + 4x + 3 - 1/(x - 2)
Factor 14x3y5 - 21x2y3
7x2y3(2xy2 - 3)
Find the roots of 2x3 - 15x2 + 27x -10. (state multiplicity if more than 1)
1/2, 5, -2
What is the y-intercept of x3 + 5x - 12
-12