Question

Which quadratic equations are in standard form?

Select all that apply.

Answer 1

Answers: Choice A, choice B, choice C

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Step-by-step explanation:

A quadratic equation has 2 as the largest exponent. This rules out something like
`\text{x}^5-3\text{x}+9 = 0` (choice F).

For a quadratic to be in standard form, it must fit the template of
`a\text{x}^2+b\text{x}+c = 0`. We must have all terms to one side, with zero on the other side, so this rules out choice D.

Choice E is ruled out because we need to expand out the
`(\text{x}+5})^2` portion to get that equation into standard form. Choice E is currently in vertex form instead.

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Choices A, B and C are all quadratics in standard form
`a\text{x}^2+b\text{x}+c = 0`

For instance, choice A has:

• a = 1/2
• b = 4
• c = -3