# How do you find the zeros by rewriting the function #y=x^2-10x+24# in intercept form?

##### 1 Answer

May 8, 2017

#### Explanation:

#"factorise " x^2-10x+24#

#"consider factors of the product 24 that sum to - 10"#

#"the factors are - 4 and - 6"#

#rArry=(x-4)(x-6)#

#"zeros are the values of x that make y = 0"#

#"solve " (x-4)(x-6)=0#

#x-4=0rArrx=4larrcolor(red)" is a zero"#

#x-6=0rArrx=6larrcolor(red)" is a zero"#