Section 1
Simplify the expression by combining like terms
3x + 5x - 7x
Answer
x
Find the product
x(x + 4)
Answer
x2 + 4x
Simplify the expression
-3(2 - x)(x + 5)
Answer
x2 + 3x - 10
Solve the equation
x3 - 27 = 0
Answer
3
Simplify the expression, state the number of terms, and classify the expression
-8x + 63 - 9x2 + 3x2 + 2x - 37
Answer
-6x2 - 6x + 26
Three terms
Trinomial
Simplify the expression by combining like terms
-4x + 7x2 + x
Answer
7x2 - 3x
Factor the quadratic expression
x2 + 8x - 20
Answer
(x + 10) (x - 2)
Divide using long division
(x2 - 3x - 40) / (x + 5)
Answer
x - 8
Factor the expression
x3 + 64
Answer
(x + 4)(x2 - 4x + 16)
Factor the quadratic expression
x2 - 14x + 24
Answer
(x - 12)(x - 2)
Find the number of terms in the given expression
4x3 - x2 - 9
Answer
Three terms
Trinomial
Factor the quadratic expression
x2 + 7x + 12
Answer
(x + 4) (x + 3)
Divide using synthetic division
(x3 + 3x2 - x - 3) / (x - 1)
Answer
x2 + 4x + 3
Factor the expression
x4 + 8x2 - 20
Answer
(x2 + 10)(x2 - 2)
Solve the equation
64x3 + 8 = 0
Answer
x = -1/2
Write the polynomial in standard form, then classify it by degree and by number of terms
4x + 5x2 + 8
Answer
5x2 + 4x + 8
Degree
Five
Number of terms
Three
Write the expression as a polynomial in standard form
(x + 3)(x + 4)(x + 5)
Answer
x3 + 12x2 + 47x + 60
Determine if x + 3 is a factor of x3 + 4x2 + x - 6
Answer
Yes
Solve the equation
125x3 + 216 = 0
Answer
x = -6/5
Divide using synthetic division
(3x3 + 17x2 + 21x - 9) / (x + 3)
Answer
3x2 + 8x - 3
Classify the product by number of terms in standard form
(2c + 9) - (3c2 - 7)
Answer
-6c4 - 13c2 + 63
Number of terms
Three
Write the polynomial in factored form
x3 + 7x2 + 10x
Answer
x(x + 2)(x + 5)
Determine if x - 3 is a factor of x3 + 4x2 + x - 6
Answer
No
Solve the equation
x4 - 12x2 - 64 = 0
Answer
x1 = -4
x2 = 4
Solve the equation
x4 - 8x2 + 16 = 0
Answer
x1 =-2
x2 = 2