Question

Consider the following quadratic equation:r? + 7x + 1 = -9Step 1 of 2: Using the standard form ax + bx + c = 0 of the given quadratic equation, factor the left hand side of the equation into two linearfactorsAnswer 3 PointsKeypadKeyboard Shortcuts= 0>Nextv

Answer 1

Given the quadratic equation;

`x^2+7x+1=-9`

Add 9 to both sides of the equation;

`\begin{gathered} x^2+7x+1+9=-9+9 \\ \\ x^2+7x+10=0 \end{gathered}`

Then, factor the left hand side;

`\begin{gathered} x^2+7x+10=0 \\ \\ x^2+2x+5x+10 \\ \\ x(x+2)+5(x+2)=0 \\ \\ (x+2)(x+5)=0 \end{gathered}`

ANSWER:

`(x+2)(x+5)=0`