Find the value of k, if x+2 is a factor of [tex]4x^{4} + 2^{3} - 3x^{2}[/tex] +8x + 5k
Please give in explantion form
Share
Find the value of k, if x+2 is a factor of [tex]4x^{4} + 2^{3} - 3x^{2}[/tex] +8x + 5k
Please give in explantion form
Sign Up to our social questions and Answers Engine to ask questions, answer people’s questions, and connect with other people.
Login to our social questions & Answers Engine to ask questions answer people’s questions & connect with other people.
Step-by-step explanation:
Let f(x) = 4x4 + 2x3 - 3x2 + 8x + 5a be the given polynomial From factor theorem
if (x+2) factor of f(x) then f(-2) = 0 Now,
f(x)= 4xr* + 2x – 3x² +8x+5a %3D
=f(-2)
=0
= 4(-2)* +2(-2) –3(-2)° +8(-2)+5a
= 0
= 64-16-12–16+5a
= 0
=5a+ 20
= 0
= 5a
= 20 >la
=- Hence (x+2) is a factor of f (x)when a =-4