How do you find the zeros of the polynomial function with equation # f(x) = (x + 4)(2x – 1)(x – 7)#?

1 Answer
Feb 22, 2016

Answer:

#4#, #1/2# and #7# are zeros of #f(x)=(x+4)(2x–1)(x–7)#.

Explanation:

Zeros of the polynomial function #f(x)=(x+4)(2x–1)(x–7)#, are those values of #x# for which value of #f(x)# becomes #0#.

As #f(x)# is a multiple of three linear functions #(x+4)#, #(2x–1)#, and #(x–7)#, #f(x)# if any of these three linear function is equal to zero.

Hence, zeros of #f(x)# are given by #(x+4)=0#, #(2x–1)=0#, and #(x–7)=0#, i.e. for #x=-4#, #x=1/2# and #x=7#.

Hence, #4#, #1/2# and #7# are zeros of #f(x)=(x+4)(2x–1)(x–7)#.