## How do you factor exponents with fractions?

Expressions with fractional or negative exponents can be factored by pulling out a GCF. Look for the variable or exponent that is common to each term of the expression and pull out that variable or exponent raised to the lowest power. These expressions follow the same factoring rules as those with integer exponents.

**How do you factor equations with exponents?**

To do this, take the greatest common factor of the numbers and the smallest exponent of each variable. 2. Divide the original expression by the greatest common factor. To do this, divide the coefficients, and subtract the exponents of the variables.

### How do you do binomial theorem with fractions?

The conditions for binomial expansion of (1+x)n with negative integer or fractional index is ∣x∣<1. i.e the term (1+x) on L.H.S is numerically less than 1.

**Do binomial theorem work on fractional powers?**

The binomial theorem for integer exponents can be generalized to fractional exponents.

## What are ways to multiply binomials?

Distributive Property

**How do you simplify monomials with exponents?**

– Divide the highest degree term of the polynomial by the highest degree term of the binomial. – Multiply this result by the divisor, and subtract the resulting binomial from the polynomial. – Divide the highest degree term of the remaining polynomial by the highest degree term of the binomial.

### How do you multiply two binomials?

– Multiply the First terms. – Multiply the Outer terms. – Multiply the Inner terms. – Multiply the Last terms. – Combine like terms, when possible.

**How to factor trinomials with different exponents?**

– Our example x 2 + 3x – 10 just begins with x 2, so we can write: – (x __) (x __) – We’ll cover more complicated problems in the next section, including trinomials that begin with a term like 6x 2 or -x 2. For now, follow the example problem.