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42 votes
Write each quadratic equation in general form.
I need help direly

Write each quadratic equation in general form. I need help direly-example-1
User Roger Far
by
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1 Answer

13 votes
13 votes

Answer:

9. 3x² +x -2y +5 = 0

10. 4x² +x -y +4 = 0

11. 9x² -6x -3y -12 = 0

Explanation:

"General form" of a polynomial equation is ...

f(x, y) = 0

where the terms are arranged in lexicographical order and decreasing degree. That is, for terms of the same degree, x-terms are listed before y-terms, and xy terms are listed before y-only terms.

The leading coefficient can be positive or negative, your choice. (Positive is generally preferred.) For linear equations, "standard form" has the coefficients mutually prime. Making that happen for a general form polynomial would be your choice.

__

9.

The highest-degree term is 3x². If we keep the leading coefficient positive, we can get general form by subtracting the expression on the left side of the equal sign.

3x² +x -2y +5 = 0

__

10.

Subtracting the right side gives ...

4x² +x -y +4 = 0

__

11.

Subtracting the left side gives ...

9x² -6x -3y -12 = 0

or

3x² -2x -y -4 = 0 . . . . . . remove a common factor of 3

User Erix
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3.1k points