Quadratic Standard Form Math Example 4

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

Example 4

medium
Convert (x+1)(xโˆ’3)=0(x+1)(x-3) = 0 to standard form.

Solution

  1. 1
    Expand: x2โˆ’3x+xโˆ’3=x2โˆ’2xโˆ’3x^2 - 3x + x - 3 = x^2 - 2x - 3.
  2. 2
    Standard form: x2โˆ’2xโˆ’3=0x^2 - 2x - 3 = 0.

Answer

x2โˆ’2xโˆ’3=0x^2 - 2x - 3 = 0
Multiply the binomials (FOIL) and combine like terms to get standard form.

About Quadratic Standard Form

The standard form of a quadratic equation is ax2+bx+c=0ax^2 + bx + c = 0, where aโ‰ 0a \neq 0 and aa, bb, cc are real number coefficients.

Learn more about Quadratic Standard Form โ†’

More Quadratic Standard Form Examples

Example 1 easy

Write [formula] in standard form and identify [formula], [formula], [formula].

Example 2 medium

Convert [formula] to standard form.

Example 3 easy

Is [formula] in standard form? If not, rewrite it.

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