CSS - PMS - CCE - PCS - Mathematics
Algebra
In (a+b)^8, what coefficient multiplies a^6b^2?
A. 27
B. 29
C. 28
D. 36
Correct Answer: C
C(8,2)=28.
CSS - PMS - CCE - PCS - Mathematics
Algebra
In (a+b)^7, what coefficient multiplies a^6b^1?
A. 14
B. 8
C. 6
D. 7
Correct Answer: D
C(7,1)=7.
CSS - PMS - CCE - PCS - Mathematics
Algebra
In (a+b)^6, what coefficient multiplies a^3b^3?
A. 20
B. 26
C. 19
D. 21
Correct Answer: A
C(6,3)=20.
CSS - PMS - CCE - PCS - Mathematics
Algebra
In (a+b)^5, what coefficient multiplies a^3b^2?
A. 10
B. 11
C. 15
D. 9
Correct Answer: A
C(5,2)=10.
CSS - PMS - CCE - PCS - Mathematics
Algebra
In (a+b)^4, what coefficient multiplies a^3b^1?
A. 4
B. 8
C. 3
D. 5
Correct Answer: A
C(4,1)=4.
CSS - PMS - CCE - PCS - Mathematics
Algebra
What is the coefficient of x^2 in (1+x)^7?
A. 28
B. 21
C. 22
D. 20
Correct Answer: B
C(7,2)=21.
CSS - PMS - CCE - PCS - Mathematics
Algebra
What is the coefficient of x^2 in (1+x)^6?
A. 16
B. 15
C. 14
D. 21
Correct Answer: B
C(6,2)=15.
CSS - PMS - CCE - PCS - Mathematics
Algebra
What is the coefficient of x^2 in (1+x)^5?
A. 9
B. 15
C. 11
D. 10
Correct Answer: D
C(5,2)=10.
CSS - PMS - CCE - PCS - Mathematics
Algebra
What is the coefficient of x^2 in (1+x)^4?
A. 6
B. 10
C. 5
D. 7
Correct Answer: A
C(4,2)=6.
CSS - PMS - CCE - PCS - Mathematics
Algebra
What is the coefficient of x^2 in (1+x)^3?
A. 6
B. 3
C. 2
D. 4
Correct Answer: B
C(3,2)=3.
CSS - PMS - CCE - PCS - Mathematics
Algebra
What is the complex conjugate of 6 + 7i?
A. -6-7i
B. -6+7i
C. 6 - 7i
D. 6+7i
Correct Answer: C
Change the sign of the imaginary part.
CSS - PMS - CCE - PCS - Mathematics
Algebra
What is the complex conjugate of 5 + 6i?
A. 5+6i
B. 5 - 6i
C. -5+6i
D. -5-6i
Correct Answer: B
Change the sign of the imaginary part.
CSS - PMS - CCE - PCS - Mathematics
Algebra
What is the complex conjugate of 4 + 5i?
A. -4-5i
B. 4 - 5i
C. 4+5i
D. -4+5i
Correct Answer: B
Change the sign of the imaginary part.
CSS - PMS - CCE - PCS - Mathematics
Algebra
What is the complex conjugate of 3 + 4i?
A. 3+4i
B. -3-4i
C. 3 - 4i
D. -3+4i
Correct Answer: C
Change the sign of the imaginary part.
CSS - PMS - CCE - PCS - Mathematics
Algebra
What is the complex conjugate of 2 + 3i?
A. 2+3i
B. -2-3i
C. -2+3i
D. 2 - 3i
Correct Answer: D
Change the sign of the imaginary part.
CSS - PMS - CCE - PCS - Mathematics
Algebra
Multiply: (6+5i)(3+2i).
A. 28+27i
B. 18+10i
C. 8 + 27i
D. 8
Correct Answer: C
FOIL and use i^2=-1.
CSS - PMS - CCE - PCS - Mathematics
Algebra
Multiply: (5+4i)(6+2i).
A. 22 + 34i
B. 22
C. 30+8i
D. 38+34i
Correct Answer: A
FOIL and use i^2=-1.
CSS - PMS - CCE - PCS - Mathematics
Algebra
Multiply: (4+3i)(5+2i).
A. 14 + 23i
B. 26+23i
C. 14
D. 20+6i
Correct Answer: A
FOIL and use i^2=-1.
CSS - PMS - CCE - PCS - Mathematics
Algebra
Multiply: (3+2i)(4+2i).
A. 8 + 14i
B. 12+4i
C. 16+14i
D. 8
Correct Answer: A
FOIL and use i^2=-1.
CSS - PMS - CCE - PCS - Mathematics
Algebra
Multiply: (2+1i)(3+2i).
A. 4 + 7i
B. 4
C. 8+7i
D. 6+2i
Correct Answer: A
FOIL and use i^2=-1.