# What are the intercepts of #y=2(x-3)(x+5)#?

##### 2 Answers

See below...

#### Explanation:

We know that the x intercepts of any quadratic is where the roots are

As the roots occur at

Now we need to work out the y intercept (the point where it crosses the y axis). This will always occur at

#### Explanation:

#"to find the intercepts, that is where the graph crosses"#

#"the x and y axes"#

#• " let x = 0, in the equation for y-intercept"#

#• " let y = 0, in the equation for x-intercepts"#

#x=0toy=2(-3)(5)=-30larrcolor(red)"y-intercept"#

#y=0to2(x-3)(x+5)=0#

#"equate each factor to zero and solve for x"#

#x-3=0rArrx=3larrcolor(red)"x-intercept"#

#x+5=0rArrx=-5larrcolor(red)"x-intercept"#

graph{2(x-3)(x+5) [-10, 10, -5, 5]}