Polynomial Test Set 2

Question 1:

Which of the following are like (similar) terms ?

I. 3 x

II. - 2 x²

III. 3 x y

IV. - 2 x²y

V. - 5 x

VI. - 4 x y

A: I and V are like terms

B: III and VI are like terms

C: I and V are like terms and III and VI are like terms

D: IV and VI are like terms

E: III and IV are like terms

Question 2:

Which of the following are in decending order?

I. 3 x⁵ - 2 x⁴ + 7 x³ - 2 x² + 6 x - 7

II. - 7 + 6 x - 2 x² + 7 x³ - 2 x⁴ + 3 x⁵

III. - 2 x⁴ - 2 x² + 6 x + 7 x³ + 3 x⁵ - 7

A: I is in decending order

B: II is in decending order

C: III is in decending order

D: I and II are in decending order

E: II and II are in decending order

Question 3:

Which of the followings are true?

I. When removing parentheses preceded by a plus sign, do not change the sign of the enclosed terms.

II. When removing parentheses preceded by a minus, change the sign of each enclosed term.

III. When more than one set of grouping symbols is used, remove one set at a time, beginning with the innermost one.

A: I is true

B: II is true

C: I, II and III are all true

D: I and II are true

E: II and III are true

Question 4:

Simplify the polynomial 3 x² - 8 x + 5 - 2 x² + 6 x + 7 , what is the coefficient of the base of x and the exponent (power) of 2?

A: -2

B: 1

C: 2

D: 3

E: 6

Question 5:

Simplify the expression x - [ y - ( y - x + 1 ) ]

A: - 1

B: 1

C: - 2 x + 1

D: 2 y + 1

E: 2 x - 2 y + 1