Polynomial Multiplication Math Example 3

Follow the full solution, then compare it with the other examples linked below.

Example 3

easy
Multiply (x−2)(x+6)(x - 2)(x + 6).

Solution

  1. 1
    FOIL: x2+6x−2x−12=x2+4x−12x^2 + 6x - 2x - 12 = x^2 + 4x - 12.
  2. 2
    Check: At x=2x = 2: (0)(8)=0(0)(8) = 0 and 4+8−12=04 + 8 - 12 = 0 ✓

Answer

x2+4x−12x^2 + 4x - 12
Applying FOIL and combining the middle terms gives the expanded form. Notice that 6+(−2)=46 + (-2) = 4 gives the coefficient of xx.

About Polynomial Multiplication

Multiplying polynomials by distributing every term in one polynomial to every term in the other, then combining like terms.

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More Polynomial Multiplication Examples

Example 1 easy

Multiply [formula] using FOIL.

Example 2 medium

Expand [formula].

Example 4 hard

Expand [formula].

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