Question

Please answer both the questions.

Q20. Value of 'a' for which x² + 5x + a is divisible by (x - 3) is-

Q21. Quotient obtained when x² + 7x - 4 is divided by x + 7 is-

(4 options are given, choose the correct one for both the questions) ​

Answer 1

Answer:

x

3

+x

2

-5x + λ is divisible by (x−2 )

Putting x = 2 in the given expression will give zero as remainder.

= (2)

3

+(2)

2

−5×2+λ = 0

= 8+4−10+λ = 0

Hence, λ = −2

Answer 2

Answer:

Q20, -24

Q21, x

Step-by-step explanation:

Q20, Since equation is divisible by x-3, that means x=3 is a solution of the given equation

=> 3²+5*3+a=0

=>9+15+a=0

=>24+a=0

=>a=-24

Q21

x+7 | x²+7x-4 | x

        x²+7x

        -   -

        _______

        0   0  -4

So quotient is equal to x