# How do you find the zeros by rewriting the function #g(x)=3x^2+24x+21# in intercept form?

##### 1 Answer

Dec 6, 2017

#### Explanation:

#"factorise g(x)"#

#g(x)=3(x^2+8x+7)larrcolor(blue)"common factor of 3"#

#"the factors of + 7 which sum to + 8 are + 1 and + 7"#

#rArrg(x)=3(x+1)(x+7)larrcolor(blue)"in intercept form"#

#"equate each of the factors to zero and solve for x"#

#x+1=0rArrx=-1#

#x+7=0rArrx=-7#