CSS - PMS - CCE - PCS - Mathematics
Algebra
For P(x)=x²-9x+18, which is a factor?
A. x − 7
B. x − 6
C. x + 3
D. x + 6
Correct Answer: B
P(6)=0, so x-6 is a factor.
CSS - PMS - CCE - PCS - Mathematics
Algebra
For P(x)=x²-8x+15, which is a factor?
A. x + 5
B. x − 5
C. x − 6
D. x + 3
Correct Answer: B
P(5)=0, so x-5 is a factor.
CSS - PMS - CCE - PCS - Mathematics
Algebra
For P(x)=x²-7x+12, which is a factor?
A. x − 5
B. x − 4
C. x + 3
D. x + 4
Correct Answer: B
P(4)=0, so x-4 is a factor.
CSS - PMS - CCE - PCS - Mathematics
Algebra
For P(x)=x²-6x+9, which is a factor?
A. x + 3
B. x − 4
C. x − 3
D. 0
Correct Answer: C
P(3)=0, so x-3 is a factor.
CSS - PMS - CCE - PCS - Mathematics
Algebra
For P(x)=x²-5x+6, which is a factor?
A. x + 2
B. x − 3
C. x + 3
D. x − 2
Correct Answer: D
P(2)=0, so x-2 is a factor.
CSS - PMS - CCE - PCS - Mathematics
Algebra
Factor the difference of cubes: x³ − 216.
A. (x − 6)(x² + 6x + 36)
B. (x-6)(x²-6x+36)
C. (x+6)(x²-6x+36)
D. (x-6)³
Correct Answer: A
Use a³-b³=(a-b)(a²+ab+b²).
CSS - PMS - CCE - PCS - Mathematics
Algebra
Factor the difference of cubes: x³ − 125.
A. (x-5)(x²-5x+25)
B. (x − 5)(x² + 5x + 25)
C. (x-5)³
D. (x+5)(x²-5x+25)
Correct Answer: B
Use a³-b³=(a-b)(a²+ab+b²).
CSS - PMS - CCE - PCS - Mathematics
Algebra
Factor the difference of cubes: x³ − 64.
A. (x-4)³
B. (x+4)(x²-4x+16)
C. (x − 4)(x² + 4x + 16)
D. (x-4)(x²-4x+16)
Correct Answer: C
Use a³-b³=(a-b)(a²+ab+b²).
CSS - PMS - CCE - PCS - Mathematics
Algebra
Factor the difference of cubes: x³ − 27.
A. (x − 3)(x² + 3x + 9)
B. (x+3)(x²-3x+9)
C. (x-3)³
D. (x-3)(x²-3x+9)
Correct Answer: A
Use a³-b³=(a-b)(a²+ab+b²).
CSS - PMS - CCE - PCS - Mathematics
Algebra
Factor the difference of cubes: x³ − 8.
A. (x-2)(x²-2x+4)
B. (x − 2)(x² + 2x + 4)
C. (x-2)³
D. (x+2)(x²-2x+4)
Correct Answer: B
Use a³-b³=(a-b)(a²+ab+b²).
CSS - PMS - CCE - PCS - Mathematics
Algebra
Factor the sum of cubes: x³ + 216.
A. (x + 6)(x² − 6x + 36)
B. (x+6)(x²+6x+36)
C. (x+6)³
D. (x-6)(x²+6x+36)
Correct Answer: A
Use a³+b³=(a+b)(a²-ab+b²).
CSS - PMS - CCE - PCS - Mathematics
Algebra
Factor the sum of cubes: x³ + 125.
A. (x+5)³
B. (x + 5)(x² − 5x + 25)
C. (x-5)(x²+5x+25)
D. (x+5)(x²+5x+25)
Correct Answer: B
Use a³+b³=(a+b)(a²-ab+b²).
CSS - PMS - CCE - PCS - Mathematics
Algebra
Factor the sum of cubes: x³ + 64.
A. (x-4)(x²+4x+16)
B. (x + 4)(x² − 4x + 16)
C. (x+4)³
D. (x+4)(x²+4x+16)
Correct Answer: B
Use a³+b³=(a+b)(a²-ab+b²).
CSS - PMS - CCE - PCS - Mathematics
Algebra
Factor the sum of cubes: x³ + 27.
A. (x+3)³
B. (x-3)(x²+3x+9)
C. (x+3)(x²+3x+9)
D. (x + 3)(x² − 3x + 9)
Correct Answer: D
Use a³+b³=(a+b)(a²-ab+b²).
CSS - PMS - CCE - PCS - Mathematics
Algebra
Factor the sum of cubes: x³ + 8.
A. (x-2)(x²+2x+4)
B. (x+2)(x²+2x+4)
C. (x + 2)(x² − 2x + 4)
D. (x+2)³
Correct Answer: C
Use a³+b³=(a+b)(a²-ab+b²).
CSS - PMS - CCE - PCS - Mathematics
Algebra
Factor: x² − 144.
A. (x − 12)(x + 12)
B. (x-144)(x+1)
C. (x+12)²
D. (x-12)²
Correct Answer: A
Difference of squares.
CSS - PMS - CCE - PCS - Mathematics
Algebra
Factor: x² − 121.
A. (x-121)(x+1)
B. (x+11)²
C. (x − 11)(x + 11)
D. (x-11)²
Correct Answer: C
Difference of squares.
CSS - PMS - CCE - PCS - Mathematics
Algebra
Factor: x² − 100.
A. (x+10)²
B. (x − 10)(x + 10)
C. (x-100)(x+1)
D. (x-10)²
Correct Answer: B
Difference of squares.
CSS - PMS - CCE - PCS - Mathematics
Algebra
Factor: x² − 81.
A. (x-9)²
B. (x-81)(x+1)
C. (x − 9)(x + 9)
D. (x+9)²
Correct Answer: C
Difference of squares.
CSS - PMS - CCE - PCS - Mathematics
Algebra
Factor: x² − 64.
A. (x+8)²
B. (x − 8)(x + 8)
C. (x-64)(x+1)
D. (x-8)²
Correct Answer: B
Difference of squares.