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Factoring a quadratic allows you to solve the x and y intercepts.

The x-intercepts in the factored form are the inverse of the constants.

The y-intercept is the product of the x-intercepts multipied together.

Example:

x²-10x-24 = (x+2)(x-12)

+2 and -12 are the constants. So ur x-intercepts are (-2,0) (12,0).

The y intercept is -24 because -2 X 12 = -24.

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What equation results from completing the square and then factoring?

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Can all quadratics be solved by completing the square?

Completing the square is one method for solving a quadratic equation. A quadratic equation can also be solved by factoring, using the square roots or quadratic formula. Solving quadratic equations by completing the square will always work when solving quadratic equations-You can also use division or even simply take a GCF, set the quantities( ) equal to zero, and subtract or add to solve for the variable


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