Question:
If x + 2a is a factor of a5 -4a2x3 +2x + 2a +3, then find the value of a.
Solution:
Let p(x) =a5 -4a2x3 +2x + 2a +3
Since, x + 2a is a factor of p(x), then put p(-2a) = 0 (-2a)5 – 4a2 (-2a)3 + 2(-2a) + 2a + 3 = 0 => -32a5 + 32a5 -4a + 2a+ 3 = 0
=> -2a + 3=0
2a =3
a = 3/2.
Hence, the value of a is 3/2.
Comments
Meena Pandey
May 29, 2024, 6:35 a.m.
This is a wrong answer because you should only put (-2a)at the place of(x) and in the question you have putted -2a the place of a in the first term .
Meena Pandey
May 29, 2024, 6:35 a.m.
This is a wrong answer because you should only put (-2a)at the place of(x) and in the question you have putted -2a the place of a in the first term .
Meena Pandey
May 29, 2024, 6:35 a.m.
This is a wrong answer because you should only put (-2a)at the place of(x) and in the question you have putted -2a the place of a in the first term .