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Create a quadratic expression in standard form.

A. x^2 +4x+3
B. 2x^2 −5x+1
C. 3x^2 +2x−7
D. 4x^2 +x+6

1 Answer

4 votes

All options (A, B, C, D) are valid quadratic expressions in standard form. A needs modification (x^2 + 4x + 3 = 0). Choose based on your desired value (zero or not).

All the choices you provided are already in standard form! A quadratic expression in standard form is written as ax^2 + bx + c = 0, where a, b, and c are constants and a is not equal to zero.

Here's a breakdown of your options:

A. x^2 + 4x + 3 - This is a valid quadratic expression, but it's not equal to zero, so it doesn't strictly follow the standard form. However, it can be easily rewritten as x^2 + 4x + 3 = 0.

B. 2x^2 - 5x + 1 - This is a perfect example of a standard form quadratic expression. All the terms are present, and the leading coefficient (2) is not zero.

C. 3x^2 + 2x - 7 - Similar to option B, this is another valid standard form quadratic expression.

D. 4x^2 + x + 6 - Just like option A, this expression has all the terms of a quadratic, but it's not equal to zero. So, it can be rewritten as 4x^2 + x + 6 = 0 to fit the standard form.

Therefore, any of the options B, C, or D would be valid choices for a quadratic expression in standard form, depending on whether you want it equal to zero or not.

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