Match the correct term with its description or definition.


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The _______________ form of a quadratic equation is written

Ax2 + Bx + C = 0, where A is a natural number.

x =



The solution(s) of ax2 + bx + c = 0
The expression b2 - 4ac where a, b, and c are coefficients of the quadratic equation ax2 + bx + c = 0
The greater of these two values for a polynomial: the greatest exponent on a term with a single variable or the greatest sum of the exponents of a term with multiple variables
The _______________ form of a quadratic equation is written

y = a
+ k.

1 answer

Here are the correct matches for the descriptions provided:

  1. The standard form of a quadratic equation is written:
    Ax² + Bx + C = 0, where A is a natural number.

  2. The solution(s) of ax² + bx + c = 0:
    Roots or solutions (often found using the quadratic formula).

  3. The expression b² - 4ac where a, b, and c are coefficients of the quadratic equation ax² + bx + c = 0:
    Discriminant.

  4. The greater of these two values for a polynomial: the greatest exponent on a term with a single variable or the greatest sum of the exponents of a term with multiple variables:
    Degree.

  5. The vertex form of a quadratic equation is written:
    y = a(x - h)² + k.

In summary:

  • Standard form: Ax² + Bx + C = 0
  • Roots or solutions: solution(s) of the quadratic equation
  • Discriminant: b² - 4ac
  • Degree: greater of the greatest exponent
  • Vertex form: y = a(x - h)² + k
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