14.For what value of a is the polynomial 2x
3 + 8 x
2+ 11 x + a+ 3 exactly divisible
by
2x-1?
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1
Answer:
2x³ + ax² + 11x + a + 3
2(½)³ + a(½)² + 11(½) + a + 3 = 0
Step-by-step explanation:
2x³ + ax² + 11x + a + 3
2(½)³ + a(½)² + 11(½) + a + 3 = 0
2 X ⅛ + a X ¼ + ¹½ + a + 3 = 0
¼ + a/4+ ¹½ + a + 3 = 0
a/4 + a = -3 - ¹½ - ¼
a+4a/4 = -12-22-1/4
5a= -35
a= -35/5
a= -7
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