Question

) a) If x + 2a is a factor of a5 -4a2 x3 +2x + 2a +3, then find the value of a​

Answer 1

Answer:

Taking ideas from the following visual, together with your own ideas, write

a letter to the Muncipal Commissioner of your city to promote the use of

bicycles in the city. The letter should highlight the benefits of using bicycles

along with the suggestions about what municipal corporation can do to

promote cycling in the city.

Answer 2

Step-by-step explanation:

Given Question:-

If x + 2a is a factor of a5 -4a2 x3 +2x + 2a +3, then find the value of a

Correction:-

x + 2a is a factor of x^5 -4a^2 x^3 +2x + 2a +3

To find:-

Find the value of a?

Solution:-

Given Polynomial is

P(x) = a^5 -4a^2 x3 +2x + 2a +3

Given factor = x+2a

By factor theorem

P(-2a) = 0

(Since x+2a = 0=>x=-2a)

=> x^5-4a^2(-2a)^3+2(-2a)+2a+3 = 0

=> (-2a)^5 -4a^2(-8a^3)+(-4a)+2a+3 = 0

=>-32 a^5 +32a^5-2a+3 = 0

=> 0+3-2a = 0

=> 3-2a = 0

=> 3 = 2a

=> 2a = 3

=> a = 3/2

Therefore, a = 3/2

Answer:-

The value of a for the given problem is 3/2

Used formula:-

Factor theorem:

P(x) be a polynomial of the degree greater than or equal to 1 and the another linear polynomial (x-al) ,if (x-a) is a factor then P(a) = 0 vice-versa.