If a polynomial has one root in the form a+square root of 6, it has a second root in the form of a_square root of b

Step-by-step explanation:

Polynomial is a name made of two terms: poly and nomial where poly means many and nomial means terms. Thus, polynomial can be defined as an expression that is a sum of many terms expressed different powers of same variable.

For example: is an example of a polynomial.

To find roots of a polynomial, we equate p(x ) to 0 i.e. .

Whenever the roots are in radical form, it implies that they will occur as conjugates.

Conjugates means that if one of  the root of an equation is , the other root will be . To show that this is true and that the second root is of form , we create a polynomial from the factors.

Factors are as follows: and

Polynomial

which is an quadratic equation.

Now if we try to solve this equation by using the quadratic formula we get:

 and  

 and  

 and  

Thus we get square roots of form and .

i have no clue at all sorry

step-by-step explanation:

the answer

b. they are parallel and will never intersect.