1001 Algebra Problems.PDF

• POLYNOMIAL EXPRESSIONS–

374.Compute 4x^2 z(3xz^3 – 4z^2 + 7x^5 ).
a. 12 x^3 z^4 – 8x^2 z^3 + 28x^7 z
b. 12 x^2 z^3 – 16x^2 z^2 + 28x^10 z
c. 12 x^3 z^4 – 16x^2 z^3 + 28x^7 z
d. 12 x^3 z^4 – 4z^2 + 7x^5

375.What is the product of (x– 3)(x+ 7)?
a.x^2 – 21
b.x^2 – 3x–21
c.x^2 + 4x– 21
d.x^2 + 7x– 21
e.x^2 – 21x– 21

376.What is the product of (x– 6)(x– 6)?
a.x^2 + 36
b.x^2 – 36
c.x^2 – 12x– 36
d.x^2 – 12x+ 36
e.x^2 – 36x+ 36

377.What is the product of (x–1)(x+ 1)?
a.x^2 –1
b.x^2 +1
c.x^2 – x– 1
d.x^2 – x+1
e.x^2 – 2x–1

378.What is the value of (x+ c)^2?
a.x^2 +c^2
b.x^2 + cx + c^2
c.x^2 + c^2 x^2 + c^2
d.x^2 + cx^2 + c^2 x + c^2
e.x^2 + 2cx+ c^2

379.What is the product of (2x+ 6)(3x– 9)?

a. 5 x^2 – 54

b. 6 x^2 – 54

c. 6 x^2 + 18x– 15

d. 6 x^2 – 18x– 15

e. 6 x^2 + 36x– 54

380.Compute –3x(x+ 6)(x– 9).

a.–3x^3 + 6x– 54

b.-x^3 + 3x^2 + 24x

c.-3x^3 – 3x^2 – 54

d.–3x^2 + 6x– 72

e.–3x^3 + 9x^2 + 162x

381.Compute (x– 4)(3x^2 + 7x–2).

a. 3 x^3 + 5x^2 – 30x– 8

b. 3 x^3 + 5x^2 – 30x+ 8

c. 3 x^3 – 5x^2 – 30x+ 8

d. 3 x^3 – 5x^2 – 30x– 8

382.Compute (x– 6)(x – 3)(x– 1).

a.x^3 – 18

b.x^3 – 9x– 18

c.x^3 – 8x^2 + 27x – 18

d.x^3 – 10x^2 – 9x– 18

e.x^3 – 10x^2 + 27x– 18

383.Which of the following equations is equivalent

to (5x+ 1)(2y+2) = 10xy+ 12?

a. 10 x+ 2y+ 2 = 10

b. 10 x+ y= 10

c. 5 x+ y= 5

d. 5 x– y= 5

384.Compute (2x^3 – 2x^2 + 1)(6x^3 + 7x^2 – 5x– 9).

a. 12 x^6 + 2x^5 – 24x^4 – 2x^3 + 25x^2 – 5x– 9

b. 12 x^6 – 2x^5 – 24x^4 + 2x^3 + 25x^2 – 5x– 9

c. 12 x^6 – 2x^5 – 24x^4 – 2x^3 – 25x^2 + 5x– 9

d. 12 x^6 + 2x^5 – 24x^4 + 2x^3 – 25x^2 + 5x– 9