Question

Q3) What number must be added to 3x + x - 22 x +9, so that result becomes exactly divisibleby x +3.​

Answer 1

$\fontsize{18}{10}{\textup{\textbf{The rquired value is 15}}}$

Step-by-step explanation:

Given polynomial 3x^3 + x^2 - 22 x +9 should be divisible by x+3

So, -3 is one of the roots

Therefore, the value we get by substituting x=-3 is the required value

3*3^3+3^2-22*3+9

=81+9-66+9

=15 is the required answer

Answer 2

Given :

A polynomial (3x³ + x² - 22x + 9)

To find :

A number that should be added to this polynomial to make it exactly divisible by (x + 3).

Solution :

Given polynomial is not correct. If the given polynomial is

(3x³ + x² - 22x + 9)

Let's divide the given polynomial by (x + 3).

x + 3) 3x³ + x² - 22x + 9 (3x²- 8x + 2

     (-) 3x³ + 9x²

                -8x² - 22x

                -8x² - 24x

                           2x + 9

                           2x + 6

                                   3

After division we are getting the remainder as 3.

Therefore, we should subtract 3 or add (-3) so that the give polynomial will become exactly divisible by (x + 3).