Question

If (x-2 ) is a factor of x^2-5x +3k, then the value of k What number should be subtracted from -2/3 to get -1/6?

Answer 1

Answer:

x-2=0

x=2

x^2-5x+3k=0

4-10+3k=0

-6=-3k

k=2

and

-2/3-(-1/2)

-1/6

Answer 2

SOLUTION ::

1.

The zero of the polynomial x - 2 is given by

x-2 = 0

So x = 2

Let f(x) = x² - 5x +3k

Now by the Remainder Theorem the required Remainder is

f(2) = 2² - 5×2 + 3k = 3k - 6

So

3k - 6 = 0

3k = 6

k = 2

2.

The required number is

= - 2/3 - (-1/6)

= - 2/3 + 1/6

= (-4+1)/6

= - 3/6

= - 1/2