Q:

The polynomial f(x) is written in factored form: f(x) = (x − 6)(x + 5)(x − 9)What are the zeros of the polynomial function? x = 6, x = −5, x = 9 x = 6, x = 5, x = 9 x = −6, x = 5, x = −9 x = −6, x = 6, x = −5, x= 5, x = −9, x = 9

Accepted Solution

A:
Answer:x = 6, x = -5, x = 9if f(x)=(x-6)(x+5)(x-9)Step-by-step explanation:The zeros of a polynomial in factored form can be found by setting the polynomial equal to zero and then realizing if a product is zero, then at least one of it's factors is zero.So we have the zero's are the x's that satisfy(x-6)(x+5)(x-9)=0.We just need to solve three equations:x-6=0            This can be solved by adding 6 on both sides:  x=6x+5=0          This can be solved by subtracting 5 on both sides: x=-5x-9=0          This can be solved by adding 9 on both sides: x=9The solutions are in { 6,-5,9 }.