Question

Write three polynomials that have no zeros for x that are real numbers.

Answer 1

Dear Student

i)Polynomial of degree 2.

$x^{2} +x+1$ has no real roots.

ii)Polynomial of degree 2

$x^{2} +x+7$ has no real roots.

iii)Polynomial of degree 2

$x^{2} +x+5$ has no real roots.

Hope it helps

With Regards

Answer 2

The given question is Write three polynomials that have no zeros for x that are real numbers.

we have to write the three polynomials that should have no real roots.

This question means it should have a zero of imaginary.

For a polynomial, there are two roots they are real and imaginary.

The real roots are the positive roots.

The imaginary roots are the complex roots that are lesser than zero. they are represented using the letter i.

Therefore the polynomial equations that don't have real roots are

1. A polynomial of degree 2.

${x}^{2} + x + 1$

This equation has no real roots.

2.

${x}^{2} + x + 7$

This polynomial is also of degree 2 with no real roots.

3.

${x}^{2} + x + 5$

This polynomial equation is also of degree 2 with no real roots.

therefore the polynomial with no real roots are obtained

# spj2

we can find similar questions through the link given below

https://brainly.in/question/37474903?referrer=searchResults