1.1-1.2
Write the following set as an interval using interval notation.
{x|−11<x≤−6}
(-11,-6]
(−2)4
16
Add or subtract the following polynomials, as indicated.
(−3y4+14−4y)−(7−5y+4y4)
−7y4+y+7
Simplify the following expression.
i11(12/2i7)
6
Solve the following quadratic equation by factoring. If needed, write your answer as a fraction reduced to lowest terms.
y2+11y+24=0
y=-3 and y=-8
Evaluate the following expression:
−|11−3|
-8
x3 * x2
x5
(6xy2−4x+3y)(x2y+4xy)
6x3y3+24x2y3−4x3y−16x2y+3x2y2+12xy2
Simplify the following expression.
(8−6i)(8+6i)
100
A rectangular auditorium seats 2990 people. The number of seats in each row exceeds the number of rows by 1919. Find the number of seats in each row.
65 seats
Evaluate the following expression for the given values of the variables:
||x+7y||−(3z−1) for x=−2, y=−3 and z=−3
33
x-6(x2z)3
-------------------
3yz3
1/3y
Factor the following polynomial by factoring out the greatest common factor. If it cannot be factored, indicate "Not Factorable".
8y7−16y2−4y3
(4y2)(2y5−y−4)
Solve the following linear equation.
6w+8=6(w+2)−4
Infinite Solutions (ℝ)
Solve the following polynomial equation
x4=121
x = √11 or -√11 or i√11 or -i√11
Evaluate the following expression, expressing your answer in fraction form if needed. Be sure to use the correct order of operations.
4+1⋅5÷8+(−3)34+1⋅8÷8+(−3)^3
-123
√(100x2)
10x
Factor.
x3+27
(x+3)(x2-3x+9)
Solve the inequality and express your answer in interval notation. Use decimal form for numerical values.
−15<3z−9≤12−15<3z−9≤12
(−2,7]
Solve the following equation by factoring.
2y11/3+11y8/3−40y5/3=0
x=0, 5/2, −8
Simplify the following union and/or intersection.
[−2,4]∪(4,∞)
[−2,∞)
√(8x3)+6x√(2x)
2x√(2x)
Find the restricted values of x for the following rational expression.
−2x
--------
8x2−x
x=/=0 and x=/=1/8
Solve the inequality and express your answer in interval notation. Use decimal form for numerical values.
4|t+1|≥16
(−∞,−5]∪[3,∞)
Solve the following polynomial equation.
8y3−8=0
(−1+i√3)/2, (−1−i√3)/2, 1