Factoring
Completing the square
Quadratics
Polynomials
Solving equations
100
Factor the number "70" completely.
2 x 5 x 7
100
If you have x^2 + 12x, how many units (1x1) do you need to complete the square?
36 units
100
How many roots (real or imaginary) does every quadratic function have?
2 roots
100
Is this polynomial in standard or factored form? y = x^5 + 4x^4 + 3x^3 + x^2 + 10
Standard form
100
Solve for x, including all answers. x^2 = 49
x = 7, -7
200
Factor the expression 2x^2 + 4x
2x(x+2)
200
If you have x^2 + 8x + 4, how many more units (1x1) do you need to complete the square?
12 more units.
200
Is the following quadratic function in standard, vertex, or factored form: y = x^2 - 4x + 8
Standard
200
What is the degree of this polynomial? y = x^6 - 4x^3 + 9x
Degree = 6
200
Solve for x, including all answers. 2x^2 - 18 = 0
x = 3, -3
300
Factor the quadratic expression x^2 + 5x + 6
(x + 3)(x + 2)
300
Write the following in vertex form: x^2 + 2x
(x+1)^2 - 1
300
Is the following quadratic function in standard, vertex, or factored form? y = 2x(x-3)
Factored form
300
What is the degree of this polynomial? y = x(x-2)(x-1)(x+9)
Degree = 4
300
Solve for x using any method. x^2 - 12x + 35 = 0
x = 5, 7
400
Factor the quadratic expression x^2 - x - 20
(x - 5)(x + 4)
400
Write the following in vertex form: x^2 - 10x + 5
(x - 5)^2 - 20
400
Write the following in standard form: y = (x - 3)(x + 3)
y = x^2 - 9
400
Find all roots of the polynomial, and tell whether each is a single, double, or triple root. y = 5(x - 2)(x-1)(x+3)
Three single roots at 2, 1, and -3
400
Solve using any method. x^2 + 4x = -4
x = -2
500
Factor the expression 4x^2 + 4x + 1
(2x + 1)(2x +1)
500
Identify the vertex (x,y) of the following: 2x^2 + 40x + 100
(10, -50)
500
Find the roots of the quadratic function. y = 2x^2 + 8x + 8
one double root at x = -2
500
Find all roots of the polynomial, and tell whether each is a single, double, or triple root. y = (x-2)(x-2)(x+8)(x+8)
Two double roots at 2 and -8
500
Solve using any method. 3x^2 + 2x = x^2 - 10
x = [-1 +/- sqrt(21) ]/2, or about 1.79 and -2.79
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