Standard form/ Degree
add/subtract polynomials
GCF/ multiplying polynomials
Factoring polynomials
Multiplying polynomials
100
Which of the following expressions are fifth-degree trinomials? Select all that apply.
a. 5x3+2x2
b.8x3y2+8x4-3x2
c. 10x5-6x4+4x3
d. 6x4+3y3+6y5
b.8x3y2+8x4-3x2
c. 10x5-6x4+4x3
d. 6x4+3y3+6y5
100
Write the difference as a polynomial.
(-3x3+4x2-x)-(5x4+8x-13)
-5x4-3x3+4x2-9x+13
100
What is the GCF of the polynomial -3x4-9x3-27x?
-3x
100
Factor the trinomial 3x2-2x-5
a.(3x+5)(x-1)
b.(3x-5)(x+1)
c.(3x-1)(x+5)
d.(3x+1)(x-5)
b.(3p-5)(p+1)
100
(8x-2)(6x+2)
48x2+4x-4
200
Write 9x3+6x2-4x5+8-2x4 in standard form.
-4x5-2x4+9x3+6x2+8
200
2x2+14x+40
200
What values for a, b, and c will make the following equation true?
ax2+bx+c=(x + 8)(4x – 2)
a. a=4, b=30 c=16
b. a=4, b=-30, c=16
c. a=-4, b=-30, c=-16
d. a=4, b=30, c=-16
d. a=4, b=30, c=-16
200
Which two of the following are factors of p2 – 144?
a. (p+12)2 b. (p+144)2
c. (p+12) d. (p-12)2
e. (p-144)2 f. (p-12)
c. (p+12)
f. (p-12)
200
(4x+2)(6x2-x+2)
24x3+8x2+6x+4
300
Which of the following expressions are sixth-degree trinomials? Select all that apply.
a. 5x6+2x5
b.8x3y3+8x7-3x2
c. 10x3-6x4+4x6
d. 6x4+3x3y3+6y5
c. 10x3-6x4+4x6
d. 6x4+3x3y3+6y5
300
Write the difference as a polynomial.
(-11x2-2x)-(17x4+3x2-4x)
-17x4-14x2+2x
300
What is the GCF of the polynomial -9x4-18x3-108x?
-9x
300
Factor the trinomial 2x2+3x-9
a.(2x-3)(x+3)
b.(2x+3)(x+3)
c.(2x+3)(x-3)
d.(2x-3)(x-3)
a.(2x-3)(x+3)
300
(6x+8)(5x-8)
30x2-8x+64
400
Write 5x3-6x2+7x4+2x-8x5-3 in standard form.
-8x5+7x4+5x3-6x2+2x-3
400
2x2+14x+24
400
What values for a, b, and c will make the following equation true?
ax2+bx+c=(3x + 2)(4x – 3)
a. a=-9, b=-1, c=-6
b. a=-12, b=1, c=6
c. a=12, b=-1, c=-6
d. a=12, b=-1, c=6
c. a=12, b=-1, c=-6
400
Which two of the following are factors of p2 – 400?
a. (p+20)2 b. (p+400)2
c. (p+20) d. (p-20)2
e. (p-400)2 f. (p-20)
c. (p+20)
f. (p-20)
400
(7x-3)(x2-2x+7)
7x3-17x2+55x-21
500
Which of the following expressions are fourth-degree binomials? Select all that apply.
a. 5x4+2x2
b.8x2y2+8x4
c. 10x2-6x4+4x3
d. 6x3+3y4
a. 5x4+2x2
b.8x2y2+8x4
d. 6x3+3y4
500
Write the difference as a polynomial.
(2x3-6x2-13)-(-7x4-9x3+3x2)
7x4+11x3-9x2-13
500
What values for a, b, and c will make the following equation true?
ax2+bx+c=(x + 4)(3x – 5)
a. a=3, b=7 c=20
b. a=3, b=7, c=-20
c. a=-3, b=-7, c=20
b. a=3, b=7, c=-20
500
Factor the trinomial 5x2+19x+12
a.(5x-4)(x-3)
b.(5x+4)(x+3)
c.(5x+4)(x-3)
d.(5x+3)(x+4)
b.(5x+4)(x+3)
500
(2x-4)(7x2-6x-6)
14x3-40x2+12x+24