Show:
numbers and properties
polynomials
Multiplying polynomials
Factoring polynomials
radicals and solving equations
100
The numbers sets that the cube root of -8 belongs to.
What is integers, rational numbers and real numbers?
100
-5 in the expression -5x^3.
What is the coefficient?
100
(x -5)(x + 5)
What is (x^2 - 25)?
100
the complete factorization of (3x^2y - 6xy^2 + 12xy)?
What is (3xy)(x - 2y + 4)?
100
the fraction that would be used to rationalize the denominator for (2 + square root 3)/(1 - 2square root 3).
What is (1 + 2square root 3)/(1 + 2square root 3)
200
The property illustrated by a(b+c)= ab + ac.
What is the distributive property?
200
3 in the polynomial 3x^4 - 2x^2 + x - 1.
What is the leading coefficient?
200
(x-4)(x+2)
What is (x^2 - 2x -8)?
200
factor completely (36x^2 - 9).
What is (9(2x-1)(2x+1))?
200
rationalize the denominator for (2 + square root 3)/(1 - 2square root 3).
What is (8 + 5 square root 3)/(-11)?
300
The property illustrated by a + 0 = 0 + a = a and a(1) = (1)a= a?
What is the identity property of addition and of multiplication?
300
4 in the polynomial 3x^4 - 2x^2 + x - 1.
What is the degree of the polynomial
300
(3x + 1)^2
What is (9x^2 + 6x + 1)?
300
factor completely (25x^2 +10x +1).
What is (5x + 1)(5x + 1) or (5x + 1)^2?
300
Solve: x/3 = 2 - (2x)/3
What is x=2?
400
Another name for the multiplicative inverse of a number.
What is reciprocal?
400
(x^2 - 3x -4) - (x^3 - 3x^2 +x + 5)
What is (-x^3 +4x^2 -4x - 9)?
400
(2x - 3)(4x^2 + 6x + 9)
What is (8x^3 - 27)?
400
factor completely (3x^2 - 2x - 8).
What is (3x +4)(x -2)?
400
Solve: 6(x^2 - 1) = 5x
What is x = -2/3 or 3/2?
500
The set of values that x may have for an expression.
What is the domain of x.
500
The degree of the product of two nonzero polynomials equals the product of their degrees. (true or false)
What is false? (it is the sum of their degrees)
500
(x + 1)^3
What is (x^3 + 3x^2 + 3x + 1)?
500
factor completely (64x^3 + 8).
What is (8(2x + 1)(4x^2 - 2x +1)?
500
Solve: (square root (3x +7) + square root (x + 2)) = 1
What is {-2}?