Quadratic Inequalities
Solve x2 - 2x - 24 ≤ 0 by graphing. State the solution using inequality notation.
What is -4 ≤ x ≤ 6?
Find the sum of 5x2 + 3x + 2 and -x2 + x + 8.
What is 4x2 + 4x + 10?
Simplify (27x3 + 12x)(3x)-1.
What is 9x2 + 4?
Multiply 2(-3x - 4)(3x - 5).
What is -18x2 + 6x + 40?
Factor 16x2 + 100y2.
What is (4x+10y)(4x-10y)?
Solve -x2 + 2x + 5 < 0 by graphing. State the solution using interval notation. Round your answer to the nearest tenth.
What is (-∞,-1.5) ∪ (3.5,∞)?
Find the difference of -3x2 + 8x - 12 and -2x2 + 4x + 6.
What is -x2 + 4x - 18?
Simplify (12v4 + 32v2 - 16v)(4v)-1.
What is 3v3 + 8v - 4?
Multiply (x + 4)3.
What is x3 + 12x2 + 48x + 64?
Factor 216x3 + 512y3.
What is (6x + 8y)(36x2 - 48xy + 64y2)?
Solve -(x - 4)2 + 8 > 0 by graphing. State the solution using inequality notation. Round your answer to the nearest hundredth.
What is 1.17 < x < 6.83?
Find the sum of 4m2 - 13 + 2m and 32 - 13m2 + 9m. Write your answer in standard form.
What is -9m2 + 11m + 19?
Divide 2x3 - 5x2 - 8x + 15 by x - 3. Use any method.
What is 2x2 + x - 5?
Multiply (3x - 5)(-2x2 - 4x + 8).
What is -6x3 - 2x2 + 44x - 40?
Factor 250x3 - 1458.
Solve x2 + 4x ≥ -2x + 9 by graphing. State the solution using interval notation. Round your answer to the nearest hundredth.
What is (-∞,-7.24) ∪ (1.24,∞)?
Subtract -12a2+3a-4b+2 from 6a+4a2-3-2b. Write your answer in standard form.
What is 16a2+3a+2b-5?
Divide 27x3 + 9x2 - 3x - 9 by 3x - 2.
What is 9x2 + 9x + 5 + 1/(3x-2)?
Simplify (2x2 - 3x + y)(3x2 + 4x -2y).
What is 6x4 - x3 - x2y - 12x2 + 10xy - 2y2?
Factor 6x2 - 2x - 20.
What is 2(3x + 5)(x - 2)?
The function h(t) = -0.8t2 + 7.6t + 0.5 represents the height in meters of an object being launched into the air of Mars, where t represents time in seconds. Solve the inequality -0.8t2 + 7.6t + 0.5 ≥ 7.5 to determine the interval of time during which the object will be out of the rover's camera view. Round your answer to the nearest tenth.
What is between 1 second and 8.5 seconds?
Subtract 12a2 - 5ab - 7b2 from -12a2 + 3ab - 4b2.
What is -24a2 + 8ab + 3b2?
Divide -3x6+2x3-x+2 by x-1.
What is -3x5-3x4-3x3-x2-x-2?
Expand (3x - 5)6.
What is 729x6 - 7290x5 + 30375x4 - 67500x3 + 84375x2 - 56250x + 15625?
Use the Factor Theorem to determine if k - 8 is a factor of 8k3 - 66k2 + 14k + 8. If it is, determine the remaining factors.
What is k - 8 not a factor of 8k3 - 66k2 + 14k + 8?