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Polynomial Expressions

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Number and algebraic methods. The student applies the mathematical process standards and algebraic methods to rewrite in equivalent forms and perform operations on polynomial expressions. The student is expected to:

(A)  add and subtract polynomials of degree one and degree two;

(B)  multiply polynomials of degree one and degree two;

(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;

(D)  rewrite polynomial expressions of degree one and degree two in equivalent forms using the distributive property;

(E)  factor, if possible, trinomials with real factors in the form ax2 + bx + c, including perfect square trinomials of degree two; and

(F)  decide if a binomial can be written as the difference of two squares and, if possible, use the structure of a difference of two squares to rewrite the binomial.