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31-10-2021
Mathematics

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Write the quadratic equation whose roots are -2 and -6, and whose leading coefficient is 1.
(Use the letter x to represent the variable.)

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AlgebraicAardvark AlgebraicAardvark

31-10-2021

To have a root of -2, you want a factor of (x+2) in your equation.

To have a root of -6, you want a factor of (x+6) in your equation.

Multiplying those together, you have y=(x+2)(x+6) or y=x^2+8x+12

This also has a leading coefficient of 1.

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