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# How do you reduce the lowest terms of a polynomial?

## How do you reduce the lowest terms of a polynomial?

To simplify a fraction with a factorable polynomial in the numerator and the denominator, factor the polynomial in the numerator and the denominator. Then reduce the fraction to lowest terms by canceling out any monomials or polynomials that exist in both the numerator and denominator.

### When can we say that a certain rational algebraic expression is reduced in lowest term?

A rational number in the form p/q, where p and q are integers, is said to be reduced to lowest terms if and only if GCD(p, q) = 1. That is, p/q is reduced to lowest terms if the greatest common divisor of both numerator and denominator is 1.

#### Can you simplify polynomials?

Polynomials can be simplified by using the distributive property to distribute the term on the outside of the parentheses by multiplying it by everything inside the parentheses. You can simplify polynomials by using FOIL to multiply binomials times binomials.

What does reduced mean math?

In mathematics, reduction refers to the rewriting of an expression into a simpler form. For example, the process of rewriting a fraction into one with the smallest whole-number denominator possible (while keeping the numerator a whole number) is called “reducing a fraction”.

How do you reduce rational expressions to lowest terms?

In this article, we will learn how to reduce rational expressions to lowest terms by looking at several examples. A rational expression is reduced to lowest terms if the numerator and denominator have no factors in common. We can reduce rational expressions to lowest terms in much the same way as we reduce numerical fractions to lowest terms.

## How do you express algebraic expressions in the lowest terms?

To express any algebraic expressions in the lowest terms, you need to find the factors of numerator and denominator of the fraction. And cancel the like terms to get the lowest form of the expression.

### How to reduce an algebraic fraction to the lowest term?

Reducing an algebraic fraction to lowest terms Look at the algebra that we do here: We start with the fraction a/b. We multiply it by 1. This will not change its value. We write the ‘1’ as the fraction d/d. We multiply the two fractions. The numerator of the new fraction is adand the denominator is bd.

#### How to reduce a fraction to its simplest equivalent fraction?

We write the ‘1’ as the fraction d/d. We multiply the two fractions. The numerator of the new fraction is adand the denominator is bd. The final fraction is equivalentto the first fraction. If we go in the reverse direction then we say that we are reducing a fraction to its simplest equivalent fractionor to lowest terms.