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Simplifying Rational Expressions
02:09

Simplifying Rational Expressions

Simplifying rational expressions is like reducing rational numbers. First fully factor the numerator and denominator and then cancel all the common factors. The process is illustrated step by step.

Rational Expressions that Equal - 1
02:45

Rational Expressions that Equal - 1

Rational expressions that equal -1 are recognizable: the terms in the numerator are identical to the terms in the denominator except for their signs, which are opposite.

Polynomials, Monomials, Binomials, Trinomials
02:13

Polynomials, Monomials, Binomials, Trinomials

Three types of polynomials are defined: monomials, binomials, and trinomials.

Squaring Binomials
02:51

Squaring Binomials

MM_ALG_04K_011

FOIL Method for Multiplying Binomials
02:46

FOIL Method for Multiplying Binomials

Using the FOIL method to multiply two binomials. FOIL suggests the order, by position, in which terms should be multiplied: first, outer, inner, last.

Factor 14n   35p
02:08

Factor 14n 35p

Demonstration of factoring a polynomial with no like terms: 14n 35p,

Factor 10b2c4d - 6b3c4d2
01:03

Factor 10b2c4d - 6b3c4d2

Practice factoring: 10b2c4d - 6b3c4d2

Factor 7x2y2   4xy2 - 8x2y
02:30

Factor 7x2y2 4xy2 - 8x2y

Practice factoring: 7x2y2 4xy2 - 8x2y

Factor 72m3n2p5 - 48mn5p3
01:32

Factor 72m3n2p5 - 48mn5p3

Practice factoring: 72m3n2p5 - 48mn5p3

Factor 27x10y3z15 - 9x9y3x9
00:54

Factor 27x10y3z15 - 9x9y3x9

Practice factoring: 27x10y3z15 - 9x9y3z9