
www.VirtualNerd.com
What is the Standard Form of a Quadratic?
What is the standard form of a quadratic polynomial?
Summary
- A quadratic polynomial is a polynomial where the highest degree term is an x2 term
- All like terms must be combined and the degree of each term decreases from left to right
- A, B, and C are coefficients
- 8x2-10x+3 is in standard form because the like terms are combined, the degree decreases from left to right
- 4x2-9 can be rewritten as 4x2+0x-9
- 4x2+0x-9 is in standard form because the like terms are combined, the degree decreases from left to right, and A
≠ 0

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