Rational Algebraic Expressions

Front

What is a rational algebraic expression?

Back

A rational algebraic expression is a fraction where both the numerator and the denominator are polynomials.

Tags

CCSS.HSA.APR.D.7

Front

How do you simplify a rational expression?

Back

To simplify a rational expression, factor both the numerator and the denominator and then cancel any common factors.

Tags

CCSS.HSA.APR.D.6

Front

What is the LCM of two numbers?

Back

The LCM (Least Common Multiple) of two numbers is the smallest multiple that is evenly divisible by both numbers.

Front

How do you find the LCM of 4 and 6?

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The LCM of 4 and 6 is 12, as it is the smallest number that both 4 and 6 divide into evenly.

Front

What does it mean to divide rational expressions?

Back

Dividing rational expressions involves multiplying by the reciprocal of the divisor.

Tags

CCSS.HSA.APR.D.6

Front

What is the reciprocal of a fraction?

Back

The reciprocal of a fraction is obtained by swapping its numerator and denominator.

Front

How do you add rational expressions with different denominators?

Back

To add rational expressions with different denominators, find a common denominator, convert each expression, and then combine the numerators.

Tags

CCSS.HSA.APR.D.7

Front

What is the process for subtracting rational expressions?

Back

Subtracting rational expressions follows the same process as addition: find a common denominator, convert, and then subtract the numerators.

Tags

CCSS.HSA.APR.D.7

Front

What is a polynomial?

Back

A polynomial is an algebraic expression that consists of variables raised to non-negative integer powers and coefficients.

Front

What is the degree of a polynomial?

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The degree of a polynomial is the highest power of the variable in the expression.