Question

find the value of a so 1-7x is a factor of -14x^3-47x^2-14x+a

Answer 1

Step-by-step explanation:

1-7x

x =1/7

f(x)=-14x^3-47x^2-14x+a

f(1/7)=(-14*1/7*1/7*1/7) - (47*1/7*1/7) - (14*1/7)+a = 0

->(-2/49)-(47/49)-2+a=0

->(-2-47-98+49a)/49 =0

->(-147+49a) =0

->49a = 147

-> a = 147/49

-> a = 3

therefore the value of a is 3

hope this would help.