If x +2 is a factor of 4x⁴+2x³- 3x²+8x + 5a find a
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Dividing x+2 with 4x4 +2x3-3x2+8x+5a
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f(x)= 4x⁴+2x³-3x²+8x+5a
since x+2 is a factor of f(x)
then f(-2) = 0
4(-2)⁴+2(-2)³ -3(-2)² +8(-2)+5a = 0
64-16-12-16+5a = 0
64-44+5a = 0
20+5a = 0
5a = -20
a = -20/5 = -4
since x+2 is a factor of f(x)
then f(-2) = 0
4(-2)⁴+2(-2)³ -3(-2)² +8(-2)+5a = 0
64-16-12-16+5a = 0
64-44+5a = 0
20+5a = 0
5a = -20
a = -20/5 = -4
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