The polynomial p(x) = ax3 – 13x2 – 13x + b has (x + 1) as factor and leaves remainder – 18 when divided by x – 1. Find the value of a and b. Pls Only Correct Answer DO NOT SPAM I WILL REPORT IF YOU SPAM RANDOM MESSAGES AND EMOJIS Thanks A Lot
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1. x+1 = 0
x = -1
p(-1) = a×(-1³) - 26 -13×(-1) + b = 0
p(-1) = -a -13 +b = 0
-a + b = 13 .........(i)
2. x-1 = 0
x = 1
p(1) = a×1³ -26 -13 +b = -18
a -39 +b = -18
a +b = 21 . .........(ii)
ADDING (i) and (ii)
a-a+b+b = 13+21
2b= 34
b = 17
NOW, PUTTING THE VALUE OF b in equation (ii)
a +17 = 21
a = 4
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