Polynomials in standard form Quiz 1

Question 1

How can a polynomial $$ - 14 + 3{k^9} - 7{k^5}$$ be written in its standard form?

Accepted Answer

$$3{k^9} - 7{k^5} - 14$$

Answer

$$ - 7{k^5} + 3{k^9} - 14$$

Answer

$$ - 14 - 7{k^5} + 3{k^9}$$

Answer

$$3{k^9} - 14 - 7{k^5}$$

Question 2

What is the degree of $$5{a^8}{b^4}$$?

Accepted Answer

12

Answer

4

Answer

5

Answer

8

Question 3

Identify the leading term, leading coefficient and degree of the polynomial respectively for $$4{x^3} + 7{x^4} - x + 5$$.

Accepted Answer

$$7{x^4},7,4$$

Answer

$$ - x, - 1,1$$

Answer

$$4{x^3},4,3$$

Answer

$$5,5,1$$

Question 4

The standard form of $$4\left( {x + 2{x^2}} \right)\left( {x - 3} \right)$$ is:

Accepted Answer

$$8{x^3} - 20{x^2} - 12x$$

Answer

$$ - 20{x^2} - 12x + 8{x^3}$$

Answer

$$ - 12x - 20{x^2} + 8{x^3}$$

Answer

$$4\left( { - 3x - 5{x^2} + 2{x^3}} \right)$$

Question 5

If a polynomial has three roots $$ - 2$$, $$1$$ and $$4$$, identify the standard form of this polynomial from the given options.

Accepted Answer

$${x^3} - 3{x^2} - 6x + 8$$

Answer

$$\left( {x - 2} \right)\left( {x + 1} \right)\left( {x + 4} \right)$$

Answer

$${x^3} + 3{x^2} - 6x - 8$$

Answer

$$\left( {x + 2} \right)\left( {x - 1} \right)\left( {x - 4} \right)$$