Math, asked by Kush360, 1 year ago

please answer this question please.... question no. 20 please answer right.

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Answered by siddhartharao77
1
(19)

Given f(x) = x^3 - 2mx^2 + 16

Given that x + 2 is a factor of f(x).

= > x + 2 = 0

= > x = -2.

Plug x = -2 in f(x), we get

= > (-2)^3 - 2m(-2)^2 + 16 = 0

= > -8 - 8m + 16 = 0

= > 8 - 8m = 0

= > 8 = 8m

= > m = 1.


Therefore the value of m = 1.



(20)

Given f(x) = x^5 - 4a^2x^3 + 2x + 2a + 3.

Given that x + 2a is a factor of f(x).

= > x + 2a = 0

= > x = -2a.


Plug x = -2a in f(x), we get


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

                = -32a^5 + 32a^5 - 4a + 2a + 3 = 0

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

                = -2a + 3 = 0

                = -2a = - 3

                a = 3/2.


Therefore the value of a = 3/2.


Hope this helps!

siddhartharao77: :-)
Kush360: where is answer 19
siddhartharao77: U asked only 20th question
Kush360: sorry
Kush360: I forgot to write question 19
siddhartharao77: Wait for 2 minutes..I will solve 19th also
Kush360: oh thank you
siddhartharao77: Done..Check your answer now
Kush360: ok
Answered by Anonymous
0
Hi,

Please see the attached file!

Thanks
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