Naming Polynomials
Classify the polynomial by degree
2x2+5x-3
A. Quadratic trinomial
B. Cubic binomial
C. Linear trinomial
D. Quadratic binomial
A. Quadratic trinomial
Which of the following is an equivalent expression of: 4x2+16x-24
A. x2+4x-6
B. 4(x2+4x-6)
C. 4(x2-4x+6)
D. x2+4x-6
B. 4(x2+4x-6)
Complete the following operation:
(3x2+3x-8)+(4x2+8)
A. 7x2+3x
B. 7x2+3x+16
C. 7x2+3x-16
D.7x2-3x+16
A. 7x2+3x
In expanding the following expression, which is not an equivalent expression?
(x-8)2
A. (x-8)(x-8)
B. x2-16x+64
C. x2+64
C. x2+64
What is the factored form of the following expression?
y2-81
A. (y-27)(y-3)
B. (y-9)2
C. (y+9)2
D. (y-9)(y+9)
D. (y-9)(y+9)
Classify the polynomial according to its degree and number of terms.
6x2-4
A. Quadratic trinomial
B. Cubic binomial
C. Linear trinomial
D. Quadratic binomial
D. Quadratic binomial
What is the greatest common factor of the following expressions?
32x4 24x3
A. 24x2
B. 8x3
C. 8
D. 8x
B. 8x3
Complete the following operation:
(7x2+3x-5)+(2x2+5)
A. 9x2+3x+5
B. 9x2+3x
C. 9x2+3x-5
D.9x2-3x+5
B. 9x2+3x
Ms. Powell needs a rectangular bulletin board in her classroom. The dimensions are 5x ft and (2x + 6) ft. What is the area of the board, if the area of a rectangle is length times width?
A. (7x+11) ft2
B.(10x2+30x) ft2
C. 13x3 ft2
D. (10x+30) ft2
B.(10x2+30x) ft2
Factor the polynomial:
16x2-49
A. (4x-7)2
B. (4x+7)2
C. (4x+7)(4x-7)
D. Cannot be factored
C. (4x+7)(4x-7)
Classify by Degree and Number of Terms:
5p3
cubic monomial
What is the GCF of 12x4 and 18x3?
6x3
Complete the following operation:
(5x2-5x+4)-(-3x2+7)
A. 2x2-5x+11
B. 2x2-5x-3
C. 8x2-5x+11
D. 8x2-5x-3
D. 8x2-5x-3
Which of the following is equivalent to the expression below?
(3x-2)(x+4)
A. 2x2+11x+5
B. 2x2-11x-5
C. 3x2+9x-8
D. 3x2+10x-8
D. 3x2+10x-8
What is the factored form of the following expression?
3n2+3n-6
A. (3n+3)(n+2)
B. (3n-3)(n-2)
C. (3n+3)(n-2)
D. (3n-3)(n+2)
D. (3n-3)(n+2)
Classify by number of terms and degree
8-10x2+12x-4x2
A. -14x2+12x+8: quadratic trinomial
B. -6x2+12x-8: quadratic trinomial
C. -6x3+8: cubic binomial
D. -10x2-3x+2: quadratic trinomial
A. -14x2+12x+8: quadratic trinomial
Factor the following polynomial: 20c5+10c2
A. c2(36c3+18)
B. 10(2c5+c2)
C. 10c2(2c3+1)
D. 10c(2c4+c)
C. 10c2(2c3+1)
Complete the following operation:
(12x2-5x+4)-(-3x2+7)
A. 9x2-5x+11
B. 9x2-5x-3
C. 15x2-5x+11
D. 15x2-5x-3
D. 15x2-5x-3
What is the simplified form of the expression?
(6k+4)(6k-4)
A. 36k2-16
B. 36k2+24k-80
C. 36k2-80k+24
D. 36k2+16
A. 36k2-16
Factor the polynomial:
x2+6x+9
A. (x-3)(x+3)
B. (x+3)2
C. (x-3)2
D. Cannot be factored
B. (x+3)2
Classify by number of terms and identify the leading coefficient.
-7x +8x2 + 3x + 5
A. binomial; leading coefficient: 3
B. trinomial; leading coefficient: 5
C. quadrinomial; leading coefficient: -3
D. trinomial; leading coefficient:8
D. trinomial; leading coefficient:8
Find the GCF of the terms in the polynomial: 45x5+30x2-60x4
A. 5x6
B. 15x2
C. 5x2
D. x2
B. 15x2
Ms. Bradley has a triangular coffee table with the side lengths of
7x3+2x, 2x3-2x, 6x3-4x.
What is the perimeter of her table?
A. 15x3-4x
B. -4x4
C. 15x4
D. 15x3+4x
A. 15x3-4x
Ms. Powell needs a rectangular bulletin board in her classroom. The dimensions are 5x ft and (3x + 4) ft. What is the area of the board, if the area of a rectangle is length times width?
A. (8x+9) ft2
B. (15x2+20x) ft2
C. 25x3 ft2
D. (15x+20) ft2
B. (15x2+20x) ft2
Factor the polynomial:
x2+16x+64
A. (x-8)(x+8)
B. (x+8)2
C. (x-8)2
D. Cannot be factored
B. (x+8)2