Question

Write the equation in factored form then stayed the X intercepts

Answer 1

Step 1

Given;

`y=x^2+x-20`

Required; To write the equation in factored form

Step 2

Find the two factors that when added gives you x and when multiplied gives -20x²

`\begin{gathered} \text{The factors are 5x and -4x} \\ \end{gathered}`

`\begin{gathered} R\text{eplace x with 5x-4x} \\ x^2+5x-4x-20 \\ \text{Factorize the expression} \\ x(x+5)-4(x+5)_{} \\ y=(x-4)(x+5) \end{gathered}`

Step 3

State the x-intercept

`\begin{gathered} (x-4)(x+5)=0 \\ x-4=0 \\ or \\ x+5=0 \\ x=4 \\ or \\ x=-5 \end{gathered}`

Hence, the x-intercepts are;

x=4

x=-5