# How do you find the zeroes of #f(x) = (3x-5)(2x+7)#?

##### 3 Answers

Jun 5, 2018

#### Explanation:

#"to find the zeros set "f(x)=0#

#(3x-5)(2x+7)=0#

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

#2x+7=0rArrx=-7/2#

#3x-5=0rArrx=5/3#

Jun 5, 2018

Zeros are

#### Explanation:

Zeros, Roots and Solutions to a polynomial are all the same thing, to find the zeros we first set

The zero product rule states that if:

or

Jun 5, 2018

f(x)=0 when

#### Explanation:

You just have to see how f(x) can be 0. In this expression f(x) = 0 when either of the parentheses is 0, i.e. either

(3x-5)=0

or (2x+7)=0

(3x-5)=0 when 3x=5 or

(2x+7)=0 when 2x=-7 or