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What is the Standard Form of a Quadratic?

What is the standard form of a quadratic polynomial?

Summary

  1. A quadratic polynomial is a polynomial where the highest degree term is an x2 term
  2. All like terms must be combined and the degree of each term decreases from left to right
  3. A, B, and C are coefficients
  4. 8x2-10x+3 is in standard form because the like terms are combined, the degree decreases from left to right
  5. 4x2-9 can be rewritten as 4x2+0x-9
  6. 4x2+0x-9 is in standard form because the like terms are combined, the degree decreases from left to right, and A0

Notes

    1. A, B, and C are coefficients
    1. A quadratic equation must have an x2 term
    2. If A is 0, then this would not be a quadratic polynomial because there would be no x2 term
    1. A the coefficient for x2
    2. B the coefficient for x1, which is just x
    3. C the coefficient for x0, which is just 1
    1. For 8x2-10x+3 to be in standard form...
    2. All like terms must be combined and the degree of each term decreases from left to right
    1. All like terms must be combined and the degree of each term decreases from left to right
    1. All like terms must be combined for the first criterion
    1. A is 8, B is -10, and C is 3
    2. A, B, and C are coefficients
    1. A, B, and C are coefficients
    2. Notice that A0, which is also necessary for an equation to be in standard form
    1. 8x2-10x+3 is in standard form
    1. For 4x2-9 to be in standard form...
    2. All like terms must be combined and the degree of each term decreases from left to right
    1. All like terms must be combined for the first criterion
    1. The degree of each term decreases from left to right for the second criterion
    1. A, B, and C are coefficients
    1. A is 4, B is 0, and C is -9
    2. A, B, and C are coefficients
    3. Notice that A0, which is also necessary for an equation to be in standard form
    1. A, B, and C are coefficients
    2. Notice that A0, which is also necessary for an equation to be in standard form