Question

pls ansr this fast !​

Answer 1

Answer:

The value of a is 5/9

Step-by-step explanation:

➡P(x) = ax^3 + 3x^2 - 13

By remainder thereom when p(x) is divided by x +2 then remainder = p(-2)

➡P(-2) = a(-2)^3 + 3 x (-2)^2 - 13

➡P(-2) = -8a + 12 - 13

➡P(-2) = -8a -1

✔Remainder= -8a -1

G(x) = 2x^3 -5x + a

➡Remainder = g(-2)

➡G(-2) = 2 x (-2)^3 - 5 x -2 + a

➡G(-2) = -16 + 10 + a

➡G(-2) = -6 + a.

Now,

Acc to que :

✔-8a - 1 = -6 + a

✔-8a -a = -6 + 1

✔-9a = -5

✔a = 5/9

Hence value of a is 5/9

Answer 2

I hope this helps you