Find the value of a for which the best 3x³+14x²+9x+a is divisible by 3x+5.
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Explanation:
3x + 5 = 0
3x + 5 = 0x = -5/3
3x + 5 = 0x = -5/3Put the value of x in p(x)
p(x)=3x³+14x²+9x+a
p(-5/3)=3(-5/3)³+14(-5/3)²+9(-5/3)+a=0
p(-5/3)=3(-5/3)³+14(-5/3)²+9(-5/3)+a=0
3*-125/27 + 14 * 25/9 -45/3+a=0
-125/9 +350/9 -15 +a =0
225/9-15+a=0
25 -15 +a =0
10 +a =0
a = -10 answer.
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