The equation in factored form is (x+4)(x-3) = 0
Quadratics can be defined as a polynomial equation of a second degree, which implies that it comprises a minimum of one term that is squared. It is also called quadratic equations. The general form of the quadratic equation is:
[tex]\(ax^2 + bx + c = 0[/tex]
where x is an unknown variable and a, b, c are numerical coefficients. Here, a ≠ 0 because if it equals zero then the equation will not remain quadratic anymore and it will become a linear equation, such as:
[tex]bx+c=0[/tex]
Thus, this equation cannot be called a quadratic equation.
Given, the equation is[tex]x^2 + x - 12 = 0[/tex]
Now, the factored equation is
[tex]x^2 + 4x -3x - 12 = 0 \\x(x+4) -3(x+4) = 0 \\(x-3)(x+4) = 0[/tex]
Hence, the factored equation is (x+4)(x-3) = 0
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