Solving polynomial inequalities - Inequalities

Solving polynomial inequalities

Basic concepts:
Solving quadratic inequalities

Lessons

1.
Solving Linear Inequalities
Solve:
2.
Solving Quadratic Inequalities
Solve each inequality
i)
graphically
ii)
algebraically using test intervals.
3.
Solving Higher Degree Polynomial Inequalities:
Solve:

Solving polynomial inequalities

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Intro Lesson:

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Intro

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Lessons

Intro Lesson

What is an Inequality?

1.

Solving Linear Inequalities Solve:

a)

3x−10 3x-10 3x−10 > 11 1111

b)

5−2x≤13 5-2x \leq 135−2x≤13

2.

Solving Quadratic Inequalities Solve each inequality i) graphically ii) algebraically using test intervals.

a)

2x2−x−15≥0 2x^2-x-15 \geq 0 2x2−x−15≥0

b)

−5x2−10x+40 -5x^2-10x+40 −5x2−10x+40 > 000

3.

Solving Higher Degree Polynomial Inequalities: Solve:

a)

23(x+5)(x−4)3(x−3)8(x+2)11≥0 23(x+5)(x-4)^3(x-3)^8(x+2)^{11} \geq 0 23(x+5)(x−4)3(x−3)8(x+2)11≥0

b)

23(x+5)(x−4)3(x−3)8(x+2)11 23(x+5)(x-4)^3(x-3)^8(x+2)^{11} 23(x+5)(x−4)3(x−3)8(x+2)11 < 000

4.

Factor First, then Solve Inequalities Solve: −2x4+3x3+18x2−17x−30≤0-2x^4+3x^3+18x^2-17x-30 \leq0−2x4+3x3+18x2−17x−30≤0

Solving polynomial inequalities

Don't just watch, practice makes perfect.

We have over 1850 practice questions in Algebra for you to master.

Algebra
Solving quadratic inequalities

or

Solving Linear Inequalities
Solve:

$3x-10$ > $11$

$5-2x \leq 13$

Solving Quadratic Inequalities
Solve each inequality
i)
graphically
ii)
algebraically using test intervals.

$2x^2-x-15 \geq 0$

$-5x^2-10x+40$ > $0$

Solving Higher Degree Polynomial Inequalities:
Solve:

$23(x+5)(x-4)^3(x-3)^8(x+2)^{11} \geq 0$

$23(x+5)(x-4)^3(x-3)^8(x+2)^{11}$ < $0$

Factor First, then Solve Inequalities
Solve: $-2x^4+3x^3+18x^2-17x-30 \leq0$