Rewrite simple rational expressions using inspection

Rewrite simple rational expressions using inspection

In this lesson you will learn how to rewrite simple rational expressions by using inspection.

ADDITIONAL MATERIALS

STANDARDS

CCSS.HSA-APR.D.6 Rewrite simple rational expressions in different forms; write 𝘢(𝘹)/𝘣(𝘹) in the form 𝘲(𝘹) + 𝘳(𝘹)/𝘣(𝘹), where 𝘢(𝘹), 𝘣(𝘹), 𝘲(𝘹), and 𝘳(𝘹) are polynomials with the degree of 𝘳(𝘹) less than the degree of 𝘣(𝘹), using inspection, long division, or, for the more complicated examples, a computer algebra system.

TEKS.A1.10.C determine the quotient of a polynomial of degree one and polynomial of degree two when divided by a polynomial of degree one and polynomial of degree two when the degree of the divisor does not exceed the degree of the dividend;

IN.AII.CNE.5 Rewrite rational expressions in different forms; write a(x)/b(x) in the form q(x) + r(x)/b(x), where a(x), b(x), q(x), and r(x) are polynomials with the degree of r(x) less than the degree of b(x), using long division and synthetic division.

IN.AII.CNE.4 Rewrite algebraic rational expressions in equivalent forms (e.g., using laws of exponents and factoring techniques).

IN.AI.RNE.5 Simplify algebraic rational expressions, with numerators and denominators containing monomial bases with integer exponents, to equivalent forms.

VA.EO.A.2.a applying the laws of exponents to perform operations on expressions;

VA.EO.AII.1.a add, subtract, multiply, divide, and simplify rational algebraic expressions;

VA.EO.A.2.b adding, subtracting, multiplying, and dividing polynomials; and

FL.MAFS.912.A-APR.4.6 Rewrite simple rational expressions in different forms; write 𝘢(𝘹)/𝘣(𝘹) in the form 𝘲(𝘹) + 𝘳(𝘹)/𝘣(𝘹), where 𝘢(𝘹), 𝘣(𝘹), 𝘲(𝘹), and 𝘳(𝘹) are polynomials with the degree of 𝘳(𝘹) less than the degree of 𝘣(𝘹), using inspection, long division, or, for the more complicated examples, a computer algebra system.