Algebra 1 Honors Ch. 6 Review

Add/Subtract Polynomials

100

(x^2 + 1) + (3x^2) = ?

4x^2 + 1

200

(3x^2 - 9x) - (4x^2 + 2) = ?

-x^2 - 9x - 2

300

(-2x^2 + 3x - 4) + (3x^2 - 4x + 6) = ?

x^2 - x + 2

400

(-7a^4 - a + 4.6a^2) - (-7.4a^2 + a - 7a^4) = ?

12a^2 - 2a

500

A rectangle has a width of x + 1 and a length of 3x - 1. What expression represents the perimeter of that rectangle?

8x

Multiply Polynomials

100

3(x+4) = ?

3x + 12

200

3x(2x - 5) = ?

6x^2 - 15x

300

(2x + 1) (9x - 13) = ?

18x^2 - 17x - 13

400

(x - 1)^2 = ?

x^2 - 2x + 1

500

(x + 4)(x^2 - 3x + 1) = ?

x^3 + x^2 - 11x + 4

Divide Polynomials

100

4x^2 / x = ?

4x

200

(6x^2 - 4x) / 2x = ?

3x - 2

300

(3x^4 - 9x^3 + 6x^2) / (6x^2)

(1/2)x^2 - (3/2)x + 1

400

105p^6 / 21p^5 = ?

5p

500

(96a^10b^3 + 51a^9b^5)/3ab^2

32a^9b + 17a^8b^3

Factor Polynomials

100

Find the GCF of the following polynomial:

3x^4 - 9x^2 + 12

3

200

Factor 3x + 9.

3(x+3)

300

Factor x^2 - 6x + 9

(x - 3) (x - 3)

400

Factor x^2 + 19x + 34

(x + 17) (x + 2)

500

Factor 3x^3 - 6x^2 + 9x.

3x(x - 3)(x + 1)

Mystery Box

100

Name this polynomial by its degree and number of terms.

x^2 + 4x - 3

Quadratic trinomial

200

Write the following polynomial in standard form:

y^3 - 4y^6 + 7y^4 - 6y + 9y^9

9y^9 - 4y^6 + 7y^4 + y^3 - 6y

300

What is the degree of this monomial?

4xy^3

4

400

Name this polynomial by its degree and number of terms.

xy - 5 + 17yx^2

Cubic trinomial

500

Find the GCF of the polynomial:

6x^3 - 19x^2 + 4x - 7

1