Task Sets: Perform polynomial operations - Common Core Math - HS Algebra

1.

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

What is the coefficient of $x^2$ in the simplified result?

2.

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

What is the coefficient of $x$ in the simplified result?

3.

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

What is the constant term of the simplified result?

4.

Multiply: $(x + 4)(x - 3)$ .

A.

$x^2 - 12$

B.

$x^2 + x - 12$

C.

$x^2 - 7x - 12$

D.

$x^2 + 7x - 12$

$Bracket diagram showing how each term of (2x − 1) distributes across the three terms of the trinomial, with all six partial products labeled.$

5.

Multiply: $(2x - 1)(x^2 + 3x - 5)$ .

What is the coefficient of $x^2$ in the product?

6.

Without fully expanding, predict the degree and leading coefficient of the product $(3x^4 - x)(2x^3 + 5)$ .

What is the degree of the product?

Exercises: Add, Subtract, and Multiply Polynomials