B: Polynomials Q&A grade A
What is the greatest common factor of the terms in the polynomial 3x³ - 3x² -
18x?▫️(FPC) - (CORRECT ANSWER)3x
What is the greatest common factor of the terms in the polynomial 8x⁴ - 4x³ - 18x²? -
(CORRECT ANSWER)2x²
Which product of prime polynomials is equivalent to 8x⁴ + 36x³ - 72x²? - (CORRECT
ANSWER)4x²(2x - 3)(x + 6)
What is the greatest common factor of the terms in the polynomial 12x⁴ + 27x³ + 6x²?
- (CORRECT ANSWER)3x²
5x³ + 20x² + 2x + 8
5x²(x + 4) + 2(x + 4)
Which is the completely factored form of his polynomial? - (CORRECT
ANSWER)(5x² + 2) (x + 4)
Which product of prime polynomials is equivalent to 8x³ - 2x? - (CORRECT
ANSWER)2x(2x + 1)(2x - 1)
7x³ - 21x² + 5x - 15
7x²(x - 3) + 5(x -3)
Which is the completely factored form of her polynomial? - (CORRECT
ANSWER)(7x² + 5) (x - 3)
12x⁴ + 30x³ + 4x² + 10x
Ax(Bx² + 1) (2x + 5)
B=[___________] - (CORRECT ANSWER)3
Which is the completely factored form of 4x³ + 10x² - 6x? - (CORRECT
ANSWER)2x(x + 3)(2x - 1)
Which is the completely factored form of 12x³ - 60x² + 4x - 20? - (CORRECT
ANSWER)4(3x² + 1)(x - 5)
Which product of prime polynomials is equivalent to 3x⁴ - 81x? - (CORRECT
ANSWER)3x(x - 3)(x² + 3x + 9)
What is the greatest common factor of the terms in the polynomial 4x⁴ - 32x³ - 60x²?
- (CORRECT ANSWER)4x²
3x⁴ - 18x³ + 9x² -54x
Ax(x² + B) (x + C)
C=[___________] - (CORRECT ANSWER)-6
Which is the completely factored form of 3x² - 12x - 15? - (CORRECT ANSWER)3(x
+ 1)(x - 5)
, What is the greatest common factor of the terms in the polynomial 12x⁴ + 27x³ + 6x²?
- (CORRECT ANSWER)3x²
Which polynomial is prime? - (CORRECT ANSWER)2x + 9
4x³ + 12x² + 5x + 15
4x²(x + 3) + 5(x + 3)
Which is the completely factored form of her polynomial? - (CORRECT
ANSWER)(4x2 + 5)(x + 3)
Which polynomial is prime? - (CORRECT ANSWER)x² + 6
The long division below shows the first term of the quotient. Which polynomial should
be subtracted from the dividend first?
. . . .____x²____
x+2|x³+3x²+x▫️(DoP) - (CORRECT ANSWER)x³ + 2x²
What is the quotient (x³ + 6x² + 11x + 6) ÷ (x² + 4x + 3)? - (CORRECT ANSWER)x +
2
The quotient of (x⁵ - 3x³ - 3x² - 10x + 15) and a polynomial is (x² - 5). What is the
polynomial? - (CORRECT ANSWER)x³ + 2x - 3
What is the quotient of the following division problem?
. . . ._____x+2
x+1|x²+3x+2
. . . .____x²+x
. . . .0+2x+2
. . . .___2x+2
. . . . . . . . 0 - (CORRECT ANSWER)x² + 3x + 2
What is the remainder of the following division problem?
. .___1
x|x+1
. .x___
. .0+1 - (CORRECT ANSWER)1
What is the first term of the quotient of the following division problem?
(x³ - 1) ÷ (x + 2) - (CORRECT ANSWER)x²
What is the quotient (x³ + 8) ÷ (x + 2)? - (CORRECT ANSWER)x² - 2x + 4
What is the first step of the following division problem?
(8x³ - x² + 6x + 7) ÷ (2x - 1) - (CORRECT ANSWER)Divide 8x³ by 2x.
What is the quotient of (x³ + 3x² - 4x - 12) / (x² + 5x + 6)?
[_________] - (CORRECT ANSWER)x - 2
What is the quotient (x³ - 3x² + 5x - 3) ÷ (x - 1)? - (CORRECT ANSWER)x² - 2x + 3
What is the greatest common factor of the terms in the polynomial 3x³ - 3x² -
18x?▫️(FPC) - (CORRECT ANSWER)3x
What is the greatest common factor of the terms in the polynomial 8x⁴ - 4x³ - 18x²? -
(CORRECT ANSWER)2x²
Which product of prime polynomials is equivalent to 8x⁴ + 36x³ - 72x²? - (CORRECT
ANSWER)4x²(2x - 3)(x + 6)
What is the greatest common factor of the terms in the polynomial 12x⁴ + 27x³ + 6x²?
- (CORRECT ANSWER)3x²
5x³ + 20x² + 2x + 8
5x²(x + 4) + 2(x + 4)
Which is the completely factored form of his polynomial? - (CORRECT
ANSWER)(5x² + 2) (x + 4)
Which product of prime polynomials is equivalent to 8x³ - 2x? - (CORRECT
ANSWER)2x(2x + 1)(2x - 1)
7x³ - 21x² + 5x - 15
7x²(x - 3) + 5(x -3)
Which is the completely factored form of her polynomial? - (CORRECT
ANSWER)(7x² + 5) (x - 3)
12x⁴ + 30x³ + 4x² + 10x
Ax(Bx² + 1) (2x + 5)
B=[___________] - (CORRECT ANSWER)3
Which is the completely factored form of 4x³ + 10x² - 6x? - (CORRECT
ANSWER)2x(x + 3)(2x - 1)
Which is the completely factored form of 12x³ - 60x² + 4x - 20? - (CORRECT
ANSWER)4(3x² + 1)(x - 5)
Which product of prime polynomials is equivalent to 3x⁴ - 81x? - (CORRECT
ANSWER)3x(x - 3)(x² + 3x + 9)
What is the greatest common factor of the terms in the polynomial 4x⁴ - 32x³ - 60x²?
- (CORRECT ANSWER)4x²
3x⁴ - 18x³ + 9x² -54x
Ax(x² + B) (x + C)
C=[___________] - (CORRECT ANSWER)-6
Which is the completely factored form of 3x² - 12x - 15? - (CORRECT ANSWER)3(x
+ 1)(x - 5)
, What is the greatest common factor of the terms in the polynomial 12x⁴ + 27x³ + 6x²?
- (CORRECT ANSWER)3x²
Which polynomial is prime? - (CORRECT ANSWER)2x + 9
4x³ + 12x² + 5x + 15
4x²(x + 3) + 5(x + 3)
Which is the completely factored form of her polynomial? - (CORRECT
ANSWER)(4x2 + 5)(x + 3)
Which polynomial is prime? - (CORRECT ANSWER)x² + 6
The long division below shows the first term of the quotient. Which polynomial should
be subtracted from the dividend first?
. . . .____x²____
x+2|x³+3x²+x▫️(DoP) - (CORRECT ANSWER)x³ + 2x²
What is the quotient (x³ + 6x² + 11x + 6) ÷ (x² + 4x + 3)? - (CORRECT ANSWER)x +
2
The quotient of (x⁵ - 3x³ - 3x² - 10x + 15) and a polynomial is (x² - 5). What is the
polynomial? - (CORRECT ANSWER)x³ + 2x - 3
What is the quotient of the following division problem?
. . . ._____x+2
x+1|x²+3x+2
. . . .____x²+x
. . . .0+2x+2
. . . .___2x+2
. . . . . . . . 0 - (CORRECT ANSWER)x² + 3x + 2
What is the remainder of the following division problem?
. .___1
x|x+1
. .x___
. .0+1 - (CORRECT ANSWER)1
What is the first term of the quotient of the following division problem?
(x³ - 1) ÷ (x + 2) - (CORRECT ANSWER)x²
What is the quotient (x³ + 8) ÷ (x + 2)? - (CORRECT ANSWER)x² - 2x + 4
What is the first step of the following division problem?
(8x³ - x² + 6x + 7) ÷ (2x - 1) - (CORRECT ANSWER)Divide 8x³ by 2x.
What is the quotient of (x³ + 3x² - 4x - 12) / (x² + 5x + 6)?
[_________] - (CORRECT ANSWER)x - 2
What is the quotient (x³ - 3x² + 5x - 3) ÷ (x - 1)? - (CORRECT ANSWER)x² - 2x + 3
