Question

explaination of division of polynomials the ( intro of polynomials ) 2 solved sum

Answer 1

Answer:

When you divide polynomials you may have to factor the polynomial to find a common factor between the numerator and the denominator. For example: Divide the following polynomial: (2x2 + 4x) ÷ 2x. Both the numerator and denominator have a common factor of 2x. Thus, the expression can be written as 2x(x + 2) / 2x.

Step-by-step explanation:

Example: Given a polynomial equation, p(x)=x2–x–2. Find the zeroes of the equation.

Solution:

Given Polynomial, p(x)=x2–x–2

Zeroes of the equation is given by:

x2–2x+x–2=0

x(x−2)+1(x–2)

(x+1)(x−2)=0

⇒ x=−1

Or, x=2

Thus, -1 and 2 are zeroes of the given polynomial.