Back to Tutor Intake Assessment: Perform polynomial operations

HSA.APR.A.1 Tutor Intake — Polynomial Operations

This short check helps your tutor understand where to start with polynomial operations. Answer each question on your own without help. If you are unsure, give your best try.

Grade 9·9 problems·~12 min·Common Core Math - HS Algebra·standard·hsa-apr-a-1

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Concepts

Which of the following is a true statement about polynomial arithmetic?

Adding two polynomials always produces a polynomial.

Dividing two polynomials always produces a polynomial.

Multiplying a polynomial by $x$ sometimes produces a non-polynomial.

Subtracting two polynomials can produce a rational expression.

Without multiplying out, what is the degree of the product
$(3x^4 - x + 2)(5x^3 + 2x - 1)$ ?

Procedures

Add the polynomials: $(4x^3 - 2x + 1) + (x^3 + 5x^2 - 3)$ .

Enter the coefficient of $x^3$ in the simplified result.

Subtract the polynomials: $(5x^2 - 3x + 7) - (2x^2 + x - 4)$ .

Enter the coefficient of $x$ in the simplified result.

Multiply: $(x + 3)(x - 5)$ .

Enter the coefficient of $x$ in the simplified result.

Multiply: $(x^2 - 3x + 4)(2x + 1)$ .

Enter the coefficient of $x^2$ in the simplified result.

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