If the polynomial 6x3+16x2+px -5 is exactly divisible by 3x+ 5 , then the value of p is
Answers
Answered by
7
This should be the answer
Attachments:
Answered by
11
hi..
SOLUTION:-
______________________________________ given 3x+5, x= -5/3
p(x)= 6x^3+16x^2+px-5
p(-5/3) = 6(-5/3)^3+16(-5/3)^2+p(-5/3)-5 = 0
= 6×-125/27+ 16×-25/9-p×5/3 -5 =0
= -250/9 - 400/9- 5 =5/3×p
= (-250-400-45)/9 = 5/3×p
= -5(50+80+9)/9 = 5/3×p
= - 139/3 = p
SOLUTION:-
______________________________________ given 3x+5, x= -5/3
p(x)= 6x^3+16x^2+px-5
p(-5/3) = 6(-5/3)^3+16(-5/3)^2+p(-5/3)-5 = 0
= 6×-125/27+ 16×-25/9-p×5/3 -5 =0
= -250/9 - 400/9- 5 =5/3×p
= (-250-400-45)/9 = 5/3×p
= -5(50+80+9)/9 = 5/3×p
= - 139/3 = p
Similar questions