Exponents and Polynomials
Factors of Polynomials
Polynomial Division and Factors
Add/Subtract Rational Expressions
Multiply/Divide Rational Expressions
100
Simplify r^4 / r^(-4)
r^8
100
What is the degree of the polynomial d^2 + d
2
100
Divide (56x^2 + x^3 - 49) by (7x)
8x + (x^2 / 7) - (7/x)
100
Simplify (8x - 16x^2) / 8x
1 - 2x
100
Multiply (2x-4)/ 15 and 6/(2-x)
-4/5
200
Simplify -9^0
-1
200
If given a polynomial of the form (a^2 - b^2), what special factoring rule should be used?
What is the Difference of Two Squares (a+b)(a-b)
200
Factor x^2 - 26x + 120
(x-20)(x-6)
200
Simplify (x^2 + 6x - 40) / (x+10)
x-4
200
Find the product of (9x+9)/(4x+8) and (2x+4)/(3x^2 -3)
3/ (2(x-1))
300
(b^2)*(b^7)
b^9
300
If given the polynomial 6x^2 +5x +10, what method should be used to find the factors?
What is the AC method (find factors that multiply to equal the product of the first and last coefficients, and that add to equal the sum of the middle coefficient)
300
Factor 27p^3 + 64q^3
(3p + 4q) (9p^2 -12pq +16q^2)
300
Find the sum of (4/ 3x) and (3/ 2x)
17 / 6x
300
Divide (2x/5) by (6x+12)/(5x + 10)
x/3
400
Multiply (5d -3)(d+6)
5d^2 +27d -18
400
What is the greatest common factor of 12xy^2, 6xy, 3y
What is 3y
400
Factor 5x^2 +16x + 3
(5x +1)(x + 3)
400
( 1 / a-b) + (1 / b-a) = ?
0
400
Divide (7/ 3x) by (14 - 7x) / (18 - 9x)
3/x
500
Multiply 8a^2 (2a^3 - 5a +3)
16a^5 -40a^3 + 24a^2
500
What does SOAP mean and when is it used?
Same Opposite Always Positive, used when factoring the sum or difference of two cubes (x^3 + y^3) = (x+y) (x^2 -xy +y^2) (x^3 - y^3) = (x-y) (x^2 +xy + y^2)
500
Divide (7x^2 - 4x + 12 + 3x^3) by (x+1)
3x^3 + 4x - 8 + (20/ x+1)
500
(x+2)/(x^2 -2x -3) + (x)/ (x-3) - (x)/(x+1) = ?
(5x +2) / (x-3)(x+1)
500
Divide (4/x) by the product of (3xy/ x^2) and (6x^2 / x^4)
8/ (x^2 y)
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