1001 Algebra Problems.PDF

Set 23 (Answers begin on page 190)

The problems in this set focus on the basic definition
of and addition/subtraction of polynomials.

353.Compute (x^2 – 3x+ 2) = (x^3 – 2x^2 + 11).
a.x^3 + x^2 + 3x+ 13
b.x^3 – x^2 + 3x+ 13
c.x^3 + x^2 – 3x+ 13
d.x^3 – x^2 – 3x+ 13

354.Compute (3x^2 – 5x+ 4) – (–^23 x+ 5).
a. 3 x^2 – ^133 x– 1
b. 3 x^2 – ^73 x– 1
c. 3 x^2 – ^133 x– 9
d. 3 x^2 – ^73 x– 9

355.Compute (^13 x^2 – ^15 x– ^23 ) – (^23 x^2 –  170 x+ ^12 ).

a.–^13 x^2 –  190 x– ^16 

b.–^13 x^2 – ^12 x– ^76 

c.–^13 x^2 –  190 x+ ^16 

d.^13 x^2 –  190 x+ ^16 

356.Compute (9a^2 b+ 2ab– 5a^2 ) – (–2ab– 3a^2 + 4a^2 b).

a. 5 a^2 b+ 8a^2

b. 13 a^2 b+ 4ab– 8a^2

c. 5 a^2 b+ 4ab– 2a^2

d. 13 a^2 b– 4ab–8a^2

357.Compute (^16 x^2 + ^23 x+ 1) + (2x– ^23 x^2 + 4) –
(^72 + 3x+ ^12 x^2 ).
a.–x^2 – ^13 x+ ^32 
b.–^43 x^2 + ^53 x+ ^32 
c.–x^2 +^53 x + ^32 
d.–x^2 + ^53 x+ ^32 

358.Compute (2 – 3x^3 ) – [(3x^3 + 1) – (1 – 2x^3 )].

a.2 + 8x^3

b.–2 + 8x^3

c.–2 – 8x^3

d.2 – 8x^3

359.What is the degree of the polynomial

–5x^8 + 9x^4 – 7x^3 – x^2?

a.–5

b. 8

c. 9

d. 2

360.What is the degree of the polynomial

• ^32 x+ 5x^4 –2x^2 + 12?
  a. 5
  b.–^32 
  c. 4
  d. 1

361.What is the degree of the constant polynomial 4?

a. 0

b. 1

c.A constant polynomial does not have a degree.

d.none of the above

362.Which of the following is not a polynomial?

a. 2

b.2 – 3x– x^2

c.x– 3x–2

d.1 – [1 – x^2 – (2 – x)]

363.Which of the following is not a polynomial?

a.–2–2x– 3–1

b.(2x^0 )–3+ 5–2x^2 – 3–1x

c.(–2x)–1– 2

d.All of the choices are polynomials.

• POLYNOMIAL EXPRESSIONS–