## What is imaginary root?

An imaginary number is a number whose square is negative. When this occurs, the equation has no roots (zeros) in the set of real numbers. The roots belong to the set of complex numbers, and will be called “complex roots” (or “imaginary roots”). These complex roots will be expressed in the form a + bi.

### How do you find imaginary poles?

Imaginary roots appear in a quadratic equation when the discriminant of the quadratic equation — the part under the square root sign (b2 – 4ac) — is negative. If this value is negative, you can’t actually take the square root, and the answers are not real.

#### What are imaginary zeros of a polynomial?

Zeros of Polynomials As we mentioned a moment ago, the solutions or zeros of a polynomial are the values of x when the y-value equals zero. An imaginary number is a number i that equals the square root of negative one. So complex solutions arise when we try to take the square root of a negative number.

**How do you simplify polynomials?**

To simplify a polynomial, we have to do two things: 1) combine like terms, and 2) rearrange the terms so that they’re written in descending order of exponent. First, we combine like terms, which requires us to identify the terms that can be added or subtracted from each other.

**How to find the product of two polynomials using the first law?**

Procedures 1 The first law of exponents is x a x b = x a+b. 2 To find the product of two monomials multiply the numerical coefficients and apply the first law of exponents to the literal factors. 3 To multiply a polynomial by another polynomial multiply each term of one polynomial by each term of the other and combine like terms.

## How do you divide a polynomial by a monomial?

To divide a monomial by a monomial divide the numerical coefficients and use the third law of exponents for the literal numbers. To divide a polynomial by a monomial divide each term of the polynomial by the monomial.

### How do you multiply polynomials with exponents?

To multiply a polynomial by another polynomial multiply each term of one polynomial by each term of the other and combine like terms. The second law of exponents is (x a) b = x ab.