Multiplying binomial by binomial

Multiplying binomial by binomial

Solving problems of multiplying binomial by binomial requires some skills. Let's learn how to do it by using the FOIL method in this lesson.
Basic Concepts: Product rule of exponents, Multiplying monomial by monomial, Multiplying monomial by binomial
Related Concepts: Solving polynomials with unknown coefficients, Solving polynomials with unknown constant terms, Factoring polynomials: x2+bx+cx^2 + bx + c, Solving polynomials with the unknown "b" from ax2+bx+cax^2 + bx + c

Lessons

  • Introduction
    FOIL method:
    i) What is the FOIL method?
    ii) How to use it?
  • 1.
    Multiplying a binomial by a binomial
    a)
    (x3−4)(2x+3){(x^3-4)(2x+3)}

    b)
    (x2−3)(4x−7){(x^2-3)(4x-7)}

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12.
Exponents and Multiplying Polynomials
12.1
Exponents: Product rule (ax)(ay)=a(x+y) (a^x)(a^y)=a^{(x+y)}
12.2
Exponents: Power rule (ax)y=a(x⋅y) (a^x)^y = a^{(x\cdot y)}
12.3
Exponents: Division rule axay=a(x−y){a^x \over a^y}=a^{(x-y)}
12.4
Combining the exponent rules
12.5
Exponents: Zero exponent: a0=1 a^0 = 1
12.6
Multiplying binomial by binomial
12.7
Solving linear equations using distributive property: a(x+b)=ca(x + b) = c
CLEP College Algebra
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