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Adding Rational Expressions with Complicated Denominators
01:26

Adding Rational Expressions with Complicated Denominators

An example of adding rational expressions that have binomials and trinomials in the denominator is illustrated.

Factor: 8x2   10x - 25
01:29

Factor: 8x2 10x - 25

Practice factoring a trinomial in which the last term is negative: 8x2 10x - 25.

Solve: 2x2 - 15x   18 = 0
01:27

Solve: 2x2 - 15x 18 = 0

Practice solving a quadratic equation: 2x2 - 15x 18 = 0

Factor: x2   5x - 24
01:07

Factor: x2 5x - 24

A quadratic trinomial in which the last term is negative is factored.

Solve: x2 - 8x   16 = 0
00:58

Solve: x2 - 8x 16 = 0

Practice solving a quadratic equation: x2 8x 16 = 0. Because this equation has two identical binomial factors, it has a single solution called a double root.

Solve: 12x2   7x - 10 = 0
02:10

Solve: 12x2 7x - 10 = 0

Solving a quadratic equation in which the trinomial has a leading coefficient other than one.

Standard Quadratic Trinomial Form
00:51

Standard Quadratic Trinomial Form

The standard form for any quadratic trinomial is ax2 bx c.