Question

Use your skills in factoring trinomials and the Zero Product Property to solve the equation.x^2+4x−21=0show your work on paper, take a picture, and upload it here.

Answer 1

x = 3 and -7

Explanations:

Given the quadratic equation as shown;

`x^2+4x-21=0`

Factorize the expression

`\begin{gathered} x^2+7x-3x-21=0 \\ x(x+7)-3(x+7)=0 \\ (x-3)(x+7)=0 \end{gathered}`

Determine the zeros of the equation

`\begin{gathered} x-3=0\text{ and }x+7=0 \\ x=3\text{ and }-7 \end{gathered}`

Hence the solution to the given trinomial is 3 and. -7