Question

- Find the value of a if x + 6 is a factor of x + 3x + 4x + a.. ​

Answer 1

Answer:

Step-by-step explanation:

Given:- p(x) = x + 3x + 4x + a

x + 6 is a factor of p(x) =  x + 3x + 4x + a

Solution:

Zero of x + 6 is -6

p(x) = x + 3x + 4x + a

p(-6) = -6 + 3(-6) + 4(-6) + a

p(-6) = -6 -18 - 24 + a

p(-6) = -48 + a

0 = -48 + a

a = 48

∴ Value of a is 48