Question

factor of the given polynomial. Now, we divide the given polynomial by r-2​

Answer 1

Answer:

how to avoid Polynomial Long Division when finding factors

Do 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