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Percy solved the equation x2 + 7x + 12 = 12. His work is shown below. Is Percy correct? Explain. 1. (x + 3)(x + 4) = 12 2. x + 3 = 12 or x + 4 = 12 3. x = 9 or x = 8

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Sample Response: Percy is not correct because he applied the zero product property to a factored expression that was not equal to 0. He should have subtracted 12 from both sides to get x2 + 7x = 0 before factoring. The correct solutions are 0 and -7.

Percy did the wrong factorization. The correct solution of the given quadratic equation is 0 and -7 and this can be determined by using the factorization method.

Given :

Quadratic Equation - [tex]x^2+7x+12 = 12[/tex]

The following steps can be used to evaluate the given quadratic equation [tex]x^2+7x+12 = 12[/tex] :

Step 1 - Write the equation.

[tex]x^2+7x+12 = 12[/tex]

Step 2 -  Subtract 12 from both sides in the above equation.

[tex]x^2+7x+12 -12= 12-12[/tex]

[tex]x^2+7x = 0[/tex]

Step 3 - Now, factorize the above equation.

[tex]x^2+7x=0[/tex]

[tex]x(x+7) = 0[/tex]

Percy did the wrong factorization. The correct solution of the given quadratic equation is 0 and -7.

For more information, refer to the link given below:

https://brainly.com/question/2712316