Question

Heres my question✌✌


Maths Class 10



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Answer 1

Solution :-

We are provided with :-

f(x) = 3x⁴ - 9x³ + x² + 15x + k

g(x) = 3x² - 5

Now we will divide f(x) by g(x) by using long division method.

3x² - 5 ) 3x⁴ - 9x³ + x² + 15x + k ( x² - 3x

3x⁴ - 5x²

__________

0 - 9x³ + 6x²

- 9x³ + 15x

____________

6x² + k

Now to make it divisible by 3x² - 5x we have to change it in the form of n(3x² - 5)

Now

6x² + k = n(3x² - 5)

Now when n = 2

6x² + k = 2(3x² - 5)

6x² + k = 6x² - 10

k = -10

Answer 2

Step-by-step explanation:

as f(x) is completely divisible by 3x^2 - 5

so, remainder must be 0

10 + k = 0

k = -10

hope it helps......