For what value of (a) is the polynomial
x³ + 2x²-3ax-8 Divisivle by x-4
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g(x) = x - 4
→ x - 4 = 0
→ x = 0 + 4
.°. x = 4
_______...
p(x) = x³ + 2x² - 3ax - 8
Putting the value of x
→ (4)³ + 2(4)² - 3 × a × 4 - 8 = 0
→ 64 + 2(16) - 12a - 8 = 0
→ 64 + 32 - 12a - 8 = 0
→ 96 - 12a - 8 = 0
→ 88 - 12a = 0
→ -12a = 0 - 88
→ -12a = -88
(-) cancelled from both sides
→ 12a = 88
→ a = 88 ÷ 12
.°. a = 22/3
So,the value of a is 22/3..
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