Question

if (x-2a) is a factor of (x⁵-4a²x³+2x+2a+3), find 'a'

Answer 1

Answer:

a = -1/2

Step-by-step explanation:

x - 2a is a factor.

x - 2a = 0

x = 2a

x - 2a is a factor of the given expression, so if we substitute the value of x, the remainder will be zero.

Substituting this value in the equation x⁵ - 4a²x³ + 2x + 2a + 3,

0 = (2a)⁵ - 4a²(2a)³ + 2(2a) + 2a + 3

0 = 32a⁵ - 4a²(8a³) + 4a + 2a + 3

0 = 32a⁵ - 32a⁵ + 6a + 3

0 = 6a + 3

6a = -3

a = -3/6

a = -1/2

Hope this helps! :)

Answer 2

Step-by-step explanation:

a =-1/2

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