Adding, Subtracting, and Classifying Polynomials

Adding

100

Add.

(2x² + 6x + 5) + (3x² - 2x - 1)

5x² + 4x + 4

200

Add.

(5x²+8x-10)+(-12-x+3x²)

8x²+7x-22

300

Add.

(3x² - 6x + xy) + (7x + 8y)

3x²+x+xy+8y

400

Add. 

(8x-x³+4-9x²)+(7x³+9x²-10-8x)

6x³-6

500

P = 3x² + xy - 5y², Q = 2x² - xy + 3y² and R = -6x² + 4xy - 7y² What is P + (Q + R) ?

-x²+4xy-9y²

Combining Like Terms

100

2y + 3 + 4y

6y+3

200

4x²+2x -7x²+5-9x

-3x²-2x+5

300

 5x³ +9y² - 5x³ - 19y²

-10y²

400

7x² + 3y -8y²-10x²

-3x² + 3y -8y²

500

4x³+7x²+2y+x²-6y

4x³+8x²-4y

Classify Polynomials

100

Classify the polynomial. 

x - 4

Linear binomial

200

Classify the polynomial.

-7x

linear monomial

300

Classify the polynomial.

5-6x³+4x

Cubic trinomial

400

Classify the polynomial.

-1+7x+4x²+9x

Quadratic Trinomial

500

Classify the polynomial

4x²-4x²+3x⁴-5x²+x⁴

Quartic binomial

Subtract

100

Subtract. 

(2x²-2x+3)-(x²+5x-5)

x²-7x+8

200

Subtract.

 (2x² - 4y + 7xy - 6y²) - (-3x² + 5y - 4xy + y²)

5x² - 7y² -9y + 11xy

300

Subtract. 

(7x²+11-5x) - (3x²+2x-11)

4x²-7x+22

400

If P = 5x⁴ - 2x² + 4x - 3 and Q = 5x⁴ + 3x³ - 4x + 3, what is P - Q?

What is -3x³ - 2x² + 8x - 6

500

Subtract. 

(x-2x³+8-7x²) - (8+5x-3x³)

x³-7x²+x