Math, asked by Ankushnimje, 1 year ago

Find the value of a in the attachment

Attachments:

Answers

Answered by duragpalsingh
1

Hey there!

From remainder theorem,

z - 3 = 0

z = 3.

f(z) = f(3).

g(z) = f(3).

Now,

f(z) = az³ + 4z² + 3z - 4

f(3) = a(3)³ + 4(3)² + 3 * 3 - 4

     = 27a + 4 * 9 + 9 - 4

     = 27a + 45 - 4

f(3) = 27a + 41

And,

g(z) = z³ - 4z + a

g(3) = (3)³ - 4 *3 + a

       = 27 - 12 + a

g(3) = 15 + a

Now,

According to question,

f(3) = g(3)

27a + 41 = 15 + a

27a - a = 15 - 41

26a = - 26

a = - 26 / 26

a = - 1

Hope It Helps You!

Similar questions