If x + 2a is a factor of a5 -4a2x3 +2x + 2a +3,

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)– 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.

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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 .
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 .
Op
April 30, 2024, 6:35 a.m.
Omfo
Tarun
Feb. 22, 2024, 6:35 a.m.
This is brilliant Learning site
naisha
Sept. 28, 2022, 10:30 p.m.
can u like...make it simple?
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