4.1 - 4.3 Quiz

Q1. Add the following polynomials.

(4x³-5x²+3x)+(-2x³-x²+6x)

• 2x³-6x²-9x

• 2x³+6x²+9x

• -2x³-6x²+9x

• 2x³-6x²+9x

• None of these

Q2. Add the following polynomials.

(x³-6x²+3)+(3x³+4x-1)

• 4x³-2x²+2

• 4x³-6x²+4x+2

• -2x³+2x+2

• 4x³-2x²-2

• None of these

Q3. Subtract the following polynomials.

(4x²+ x) - (x²+ 2x)

• 3x² - x

• 4x² + 2x

• 3x² + 3x

• 3x² + 2x

Q4. Subtract the following polynomials.

(x³-x²+4) - (3x³-2x²+3)

• -2x³-3x²+7

• -2x³+x²+1

• 2x³-3x³-1

• 4x³-3x²+7

Q5. Multiply the following polynomials.

(3x − 6)(7x + 7)

• 21x² − 63x + 42

• 21x² − 21x − 42

• 21x² − 42

• 21x² + 63x + 42

Q6. Multiply the following polynomials.

(5x+2)(x²-3x+6)

• 5x³ - 17x² +24x +12

• 5x³ + 17x² - 24x +12

• 5x³ - 13x² + 24x +12

• 5x³ +13x² - 24x - 12

Q7. Divide using long division OR synthetic division.
 $\left(3x^3+5x-1\right)\div\left(x+1\right)$  

•  $3x^3-3x^2+8x-9$  

•  $3x^2-3x+8+\frac{-9}{x+1}$  

•  $3x^2+3x+8+\frac{7}{x+1}$  

•  $3x^3+3x^2+8x+7$  

Q8. Divide the following polynomials using long division or synthetic division, and state the remainder. 

(2x³ - 5x - 7) / (x + 2)

• $\frac{-9}{x+2}$

• $\frac{11}{x+2}$

• $\frac{-13}{x+2}$

• $\frac{-1}{x+2}$
  

Q9. Is this division problem worked correctly; if so, what is the FIRST mistake?

• No mistake; This is correct!

• This is incorrect! They did not subtract -6x and 2x correctly.

• This is incorrect! They did not subtract -16 and -8 correctly.

• This is incorrect! They did not bring down the -16.

Q10. What should be the order of the polynomial coefficients if

(3x - 4x³+ 6x⁴ + 1) / (x + 3)

• 3 0 -4 6 1

• 6 -4 3 1 0

• 6 -4 0 3 1

• -6 4 0 -3 -1