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Mathematics MCQs

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Mathematics MCQs With Answers

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Mathematics Algebra
Simplify fully: (6x⁷)⁄(15x²).
A. 5x⁵⁄2
B. 6x⁵⁄15
C. 2x⁵⁄5
D. 2x⁹⁄5
Correct Answer: C
Reduce the numerical fraction and subtract exponents.
Mathematics Algebra
Simplify fully: (16x⁶)⁄(8x¹).
A. 16x⁵⁄8
B. 8x⁷⁄4
C. 4x⁵⁄8
D. 2x⁵
Correct Answer: D
Reduce the numerical fraction and subtract exponents.
Mathematics Algebra
Simplify fully: (49x⁵)⁄(21x³).
A. 49x²⁄21
B. 7x⁸⁄3
C. 7x²⁄3
D. 3x²⁄7
Correct Answer: C
Reduce the numerical fraction and subtract exponents.
Mathematics Algebra
Simplify fully: (36x⁴)⁄(42x²).
A. 36x²⁄42
B. 6x²⁄7
C. 7x²⁄6
D. 6x⁶⁄7
Correct Answer: B
Reduce the numerical fraction and subtract exponents.
Mathematics Algebra
Simplify fully: (25x⁷)⁄(30x¹).
A. 5x⁶⁄6
B. 5x⁸⁄6
C. 25x⁶⁄30
D. 6x⁶⁄5
Correct Answer: A
Reduce the numerical fraction and subtract exponents.
Mathematics Algebra
Simplify fully: (16x⁶)⁄(20x³).
A. 4x³⁄5
B. 4x⁹⁄5
C. 16x³⁄20
D. 5x³⁄4
Correct Answer: A
Reduce the numerical fraction and subtract exponents.
Mathematics Algebra
Simplify fully: (9x⁵)⁄(12x²).
A. 3x³⁄4
B. 4x³⁄3
C. 3x⁷⁄4
D. 9x³⁄12
Correct Answer: A
Reduce the numerical fraction and subtract exponents.
Mathematics Algebra
Simplify fully: (4x⁴)⁄(6x¹).
A. 4x³⁄6
B. 2x³⁄3
C. 3x³⁄2
D. 2x⁵⁄3
Correct Answer: B
Reduce the numerical fraction and subtract exponents.
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.
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.
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.
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.
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.
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).
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).
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).
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).
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).
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).
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).
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