Dividing Polynomials by Binomials
Divide using synthetic division.
(x^4 - 3x^3 - 11x^2 + 5x + 17) ÷ (x + 2)
x^3 - 5x^2 - x + 7 + (3) / (x + 2)
Simplify the expression.
(Use positive exponents in your answer)
(f^-3 / g^-2)^4
g^8 / f^12
Simplify:
-4x + 3x2 - 7 + 9x - 12x2 - 5x4
-5x4 - 9x2 + 5x - 7
Solve the inequality and give your answer in interval notation.
2x - 5 > 3
(4, ∞)
Solve the quadratic equation by factoring.
x^2 + 7x + 12 = 0
x = -3, -4
Divide using synthetic division.
(x^5 - 3x^3 - 4x - 1) ÷ (x - 1)
x^4 + x^3 - 2x^2 - 3x - 6 + (-7) / (x - 7)
Simplify the expression.
(Use positive exponents in your answer)
(34x / 2y) (17xy)^-1
1 / y^2
Simplify:
(3p2 + 8) + (-p2 + 5)
2p2 + 13
Solve the inequality and give your answer in interval notation.
4x - 9 < 11
(-∞, 5)
Solve the quadratic equation by factoring.
2x^2 + 4x - 6 = 0
x = 1, -3
Divide using long division.
(3x^3 - 5x^2 + 10x - 3) ÷ (3x + 1)
x^2 - 2x + 4 + (-7) / (3x + 1)
Simplify the expression.
(Use positive exponents in your answer)
(m / n)^-2 (n / m)^4
n^6 / m^6
Simplify:
(3x + 2) - (x + 4) (x + 1)
-x2 - 2x - 2
Solve the inequality and give your answer in interval notation.
7 - 3x ≥ 9
(-∞, -2/3]
Solve the quadratic equation by completing the square.
x^2 + 10x + 5 = 0
x = -5 ± √20
Divide using long division.
(2x^3 - 9x^2 + 15) ÷ (2x - 5)
x^2 - 2x -5 + (-10) / (2x - 5)
Simplify the expression.
(Use positive exponents in your answer)
x^-12 / x^-4 * y^-8
y^8 / x^8
Simplify:
(x2 + 2x + 7) (x2 + x - 6)
x4 + 3x3 + 3x2 - 5x -42
Solve the inequality and give your answer in interval notation.
3x + 11 ≥ 6x + 8
(-∞, 1]
Solve the quadratic equation by using the quadratic formula.
x^2 + 5x - 6 = 0
x = 1, -6
Divide using long division.
(4x^4 + 1 + 3x^3 + 2x) ÷ (x^2 + x + 2)
4x^2 - x - 7 + (11x + 15) / (x^2 + x + 2)
Simplify the expression.
(Use positive exponents in your answer)
(a^2)^-7 * b^0 / a^3 * b^-4
b^4 / a^17
Simplify:
5x^3 - 14x^2 - 10x + 3 - (4x + 3) * x^2 - (8 - 10x)
x^3 - 17x^2 - 5
Solve the inequality and give your answer in interval notation.
3(4x - 1) ≤ 15x + 12
[-5, ∞)
Solve the quadratic equation by using the quadratic formula.
2x^2 - 10x + 5 = 0
x = (10 ± √60) / 4