Question

If (x - 2) is a factor of x - 3x² +k, then k =
(a) 4
(b) 2.
(C) 6
(d) 10​

Answer 1

Answer:

factors of x-3x^2+k

x-2=0

x=2

x-3x^2+k=2-3(2)^2+k

2-3(4)+k=0

2-12+k=0

-10+k=0

k=10(d)

Answer 2

Polynomial :- x – 3x² + k.

Factor Of Polynomial :- x – 2.

Solution :-

x – 2 = 0.

x = 2.

Now, Substitute the value of x in the polynomials.

⇒ x – 3x² + k = 0.

⇒ 2 – 3(2)² + k = 0.

⇒ 2 – 12 + k = 0.

⇒ k – 10 = 0.

⇒ k = 10.

Therefore, Correct Answer = (Option D).

Verification :-

⇒ x – 3x² + k = 0.

⇒ 2 – 3(2)² + 10 = 0.

⇒ 2 – 12 + 10 = 0.

⇒ 2 – 2 = 0.

⇒ 0 = 0.

LHS = RHS.

Hence, Verified.