#8x^3 +10x^2- px- 5# is divisible by #2x +1#. There is no remainder. How do you find the value of p?
1 Answer
Dec 10, 2016
Explanation:
The remainder theorem states that if a polynomial
Here,
So,
#8(-1/2)^3 + 10(-1/2)^2 - p(-1/2) - 5 = 0#
#8(-1/8) + 10(1/4) + 1/2p - 5 = 0#
#-1 + 5/2 + 1/2p - 5 = 0#
#1/2p = 5 - 5/2 + 1#
#1/2p = 7/2#
#p = (7/2)/(1/2)#
#p = 7#
Hopefully this helps!