Question

If a polynomial function of degree 4 has 1 + i as one of its roots, what is the maximum number of real roots can it have?
3
2
1
o​

Answer 1

Answer:

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Step-by-step explanation:

the answer is 4

Answer 2

SOLUTION

TO CHOOSE THE CORRECT OPTION

If a polynomial function of degree 4 has 1 + i as one of its roots, the maximum number polynomial function of degree 4 can it have

• 3

• 2

• 1

• 0

EVALUATION

Here it is given that the polynomial function of degree 4

Now the polynomial has one root 1 + i

We know that complex roots occur in pair

So another root of the polynomial is 1 - i

Thus two roots are 1 + i , 1 - i

Remaining number of roots = 4 - 2 = 2

Since the remaining number roots are 2

So the roots are either both complex or both real

Hence the maximum number real roots of the polynomial = 2

FINAL ANSWER

Hence the correct option is 2

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