Multiplying Polynomials 1
Steps to Simplify:
Add/Subtract Polynomials
Transform Formulas and Word Problems
Multiplying Polynomials 2
100

3x(x+1)

What is 3x2 + 3x ?

100

When adding polynomials, you must combine _______   ________.

What is like terms?

100

(5p2 − 3) + (2p2 − 3 p3 )

−3p3 + 7p2 − 3

100

p=2(l+w) solve for w

w= (p-2l)/2

100

(5x2 + 2yz)2

What is 

25x^5+20x^2yz+4y^2z^2

200

x2(3x+1)

 What is 3x3+x2 ?

200

When adding polynomials, what happens to to the exponents?

What is "keep the exponents the same"?

200

(a3 − 2a2 ) − (3a2 − 4a3 )

5a3 − 5a2 

200

r=((ab)/(a+b)) Solve for a

a = (br)/(b-r)

200

(-2zy - 3xzy2)2

4z^2y^2-12xz^2y^2+9x^2z^2y^4

300

(x+1)(x-3)

What is x2-2x-3 ?

300

Write in standard form and state its degree

-4x-1-2x^2 

Second Degree (Quadratic Polynomial)

-2x^2-4x-1

300

(5a + 4) − (5a + 3)

1

300

Two planes leave Chicago at the same time, one flying east at a speed of 550mi/h and the other flying west at a speed of 650mi/h.  how long does it take for them to be 2000 miles apart.  

1 hour and 40 minutes.

300

(2/5x^4y^2)^2

4/25 x^6y^4

400

(2x+1)(3x2-4)

What is 6x3+3x2-8x-4 ?

400

When multiplying polynomials, what happens to the exponents?

What is add the exponents?

400

(−4k4 + 14 + 3k2 ) + (−3k4 − 14k2 − 8)

−7k4 − 11k2 + 6 

400

A jet flying at a constant speed took 5 hours to fly from San Francisco from St. Louis.  On the return trip, a tailwind of 125 mi/h decreassed the flying time by 1.25 hours what was the speed of the plane on the return trip. 

500 mi/h

400

(x-3)(x+3)

What is x2-9?

500

(3x2+6)(2x+x2)

What is 3x4+ 6x3+ 6x2+ 12x ?

500

When multiplying specific polynomials, How do I simplify the following pattern (a+b)(a-b).

What is 

a^2-b^2

500

(8n − 3n4 + 10n2 ) − (3n2 + 11n4 − 7)

−14n4 + 7n2 + 8n + 7

500

A small city park consists of a rectangular lawn surrounded on all sides by a 330 sq m border of flowers 2.5 m wide.  Find the area of the lawn if the entire park is 5m longer than it is wide. 

924 square meters

500

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

2x^4+5x^3-2x^2-4x-1

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