Question

Which of the following is a factor of 2x4 + 1 + 3x2?

Answer 1

Answer: Option 1 is correct.

Explanation :

Since we have given the dividend

$2x^4+3x^2+1$

Now, we are required to find out the factor i.e

Factor is the expression of terms by which the dividend is completely divisible and remainder will be 0.

So, if we use the option 1 then ,

$2x^2+1\text{ is completely divides }2x^4+3x^2+1$

because

$2x^2+1=0\\x^2=\frac{-1}{2}$

And if we put this value in dividend which is the form of p(x) ,we'll get

$2x^4+3x^2+1\\\\=2(\frac{1}{4})+3(\frac{-1}{2})+1\\\\=\frac{1}{2}-\frac{3}{2}+1\\\\=0$

So, option 1 is correct.

Answer 2

Answer:

options 1 is a right answer