Quadratic Standard Form Math Example 1

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

Example 1

easy
Write 3โˆ’5x+2x23 - 5x + 2x^2 in standard form and identify aa, bb, cc.

Solution

  1. 1
    Standard form ax2+bx+cax^2 + bx + c requires terms in decreasing order of exponent.
  2. 2
    Rearrange the expression by decreasing power: 2x2โˆ’5x+32x^2 - 5x + 3.
  3. 3
    Identify the coefficients: a=2a = 2, b=โˆ’5b = -5, c=3c = 3.

Answer

2x2โˆ’5x+3;a=2,b=โˆ’5,c=32x^2 - 5x + 3; \quad a=2, b=-5, c=3
Standard form ax2+bx+cax^2 + bx + c always has the x2x^2 term first, the xx term second, and the constant last. The leading coefficient aa must be nonzero.

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.

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