Polynomial Operations

Polynomials

​

Multiple Choice

Which polynomial of 3x − 5x² + 7 is written in standard form?

• 7 + 3x - 5x²

• 3x - 5x^{2 + 7}

• -5x² + 3x + 7

Multiple Choice

What is the perimeter of the rectangle?

• x²+8x-5

• 2x²+16x-10

• 2x²+10x-8

• 6x-2

Multiple Choice

Which expression represents the perimeter of the triangle?

• 8xy + 3

• 5x + y + 3

• 5x + 4y + 3

• 6x + 3y + 3

Multiple Choice

If a rectangular field has a length of $$x+7$$  and a width of  $$4x-2$$  ,  write an expression for the length of fencing to go around the outer edges.

• $$5x+5$$  

• $$10x+10$$  

• Why do we need fences?

• $$4x^2-14$$  

Multiple Choice

Simplify the expression. 

$$\left(3x^4+7x^3+1\right)-\left(4x^3-6x^2+8x^4\right)$$  

• $$-9x^4+4x^3+6x^2+1$$  

• $$-9x^4+4x^3+2x^2+1$$  

• $$-5x^4+3x^3+6x^2+1$$  

• $$-9x^4+3x^3+6x^2+1$$  

Multiple Choice

Simplify: (5x + x² - 4) - (4x - x² + 6)

• 2x² + x + 2 
• x + 2
• 2x² + x - 10 
• x - 10 

Multiple Choice

Add or Subtract to Simplify:

(4x²+ x) - (x²+ 2x)

• 3x² - x

• 4x² + 2x

• 3x² + 3x

• 3x² + 2x

Multiplying Polynomials: Rainbow or Distributive Method

• 1. Called the rainbow method because of the lines of distribution

• 2. Multiply everything in the second polynomial by the first term in the first polynomial (along with the sign)

• 3. Multiply everything in the second polynomial by the second term (along with the sign)

Multiple Choice

(x + 12)(x - 12)

• x² - 144

• x² + 144

• x² + 12x - 144

• x² - 12x + 144

Multiple Choice

(5x+2)(x²-3x+6)

• 5x³ - 17x² +24x +12

• 5x³ + 17x² - 24x +12

• 5x³ - 13x² + 24x +12

• 5x³ +13x² - 24x - 12

Multiple Choice

Multiply

(2x-1)(x+3)

• 2x²+5x-3

• 2x-3

• 2x²+6x-3

• 2x²-5x-3

Multiple Choice

Multiply

(x+4)(x-2)

• x²-2x-8

• 2x+2

• x²+2x-8

• x²+6x-8

Multiple Choice

Simplify:

• -4x - 3

• x² - 3

• -4x² - 6x

• -4x - 6