Quadratic Standard Form Math Example 3

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

Example 3

easy
Is 4xβˆ’x2+1=04x - x^2 + 1 = 0 in standard form? If not, rewrite it.

Solution

  1. 1
    Noβ€”the x2x^2 term should come first. Rearrange: βˆ’x2+4x+1=0-x^2 + 4x + 1 = 0.
  2. 2
    Here a=βˆ’1a = -1, b=4b = 4, c=1c = 1.

Answer

βˆ’x2+4x+1=0-x^2 + 4x + 1 = 0
Standard form requires terms in descending order of degree: ax2+bx+c=0ax^2 + bx + c = 0.

About Quadratic Standard Form

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

Learn more about Quadratic Standard Form β†’

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 4 medium

Convert [formula] to standard form.

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