Question

I can rewrite simple polynomials using some form of polynomial division.

Answer 1

Answer:

Factorization or factoring is the decomposition of an object, for example an integer or a polynomial, into a product of other objects, or factors, which when multiplied together give the original.

Factoring by grouping is done by placing the terms in the polynomial into two or more groups, where each group can be factored separately. The results of these factorizations can sometimes be combined to make an even more simplified expression.

Key Terms

polynomial: an expression consisting of a sum of a finite number of terms, each term being the product of a constant coefficient and one or more variables raised to a non-negative integer power, such as anxn+an−1xn−1+…+a0x0anxn+an−1xn−1+…+a0x0. Importantly, because all exponents are positive, it is impossible to divide by x.

greatest common divisor: The greatest common divisor of a set is the largest positive integer or polynomial that divides each of the numbers in the set without remainder.

factorization: An expression listing items that, when multiplied together, will produce a desired quantity.