If x^5-4a^2x^3+2x+2a+3 is divisible by x+2a then find the value of a
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Given x^5-4a^2x^3+2x+2a+3 is divisible by x+2a.
Put x = -2a in the above equation, we get
(-2a)^5 - 4a^2(-2a)^3 + 2(-2a) + 2a + 3
- 32a^5 − 4a^2(−8a^3) − 4a + 2a + 3
- 32a^5 + 32a^5 − 2a + 3 = 0
- 2a + 3 = 0
a = 3/2.
Hope this helps!
Put x = -2a in the above equation, we get
(-2a)^5 - 4a^2(-2a)^3 + 2(-2a) + 2a + 3
- 32a^5 − 4a^2(−8a^3) − 4a + 2a + 3
- 32a^5 + 32a^5 − 2a + 3 = 0
- 2a + 3 = 0
a = 3/2.
Hope this helps!
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