Question

Find the dividend: divisor = x+2 ; remainder = 0 ; Quotient = x²+2x+3​

Answer 1

Answer:

you remember doing division in Arithmetic?

7/2=3 remainder 1

"7 divided by 2 equals 3 with a remainder of 1"

Each part of the division has names:

dividend/divisor=quotient with remainder

Which can be rewritten as a sum like this:

7 = 2 times 3 + 1

Polynomials

Well, we can also divide polynomials.

f(x) ÷ d(x) = q(x) with a remainder of r(x)

But it is better to write it as a sum like this:

f(x) = d(x) times q(x) + r(x)

Like in this example using Polynomial Long Division:

Example: 2x2−5x−1 divided by x−3

f(x) is 2x2−5x−1

d(x) is x−3

polynomial long division 2x^/2-5x-1 / x-3 = 2x+1 R 2

After dividing we get the answer 2x+1, but there is a remainder of 2.

q(x) is 2x+1

r(x) is 2

In the style f(x) = d(x)·q(x) + r(x) we can write:

2x2−5x−1 = (x−3)(2x+1) + 2

Step-by-step explanation:

hope it helps you