Imaginary Numbers
i is defined as the square root of this number.
What is -1?
True or False: Matrix Multiplication is commutative.
What is false?
A quadratic is a polynomial of this degree.
What is degree 2?
Any base (other than 0) raised to this power equals 1.
What is the zeroth power?
This "Rule" named after 18th Century Genevan mathematician Gabriel ______, who died of painful cancer, provides yet another useful way to use matrices - particularly determinants - to solve systems of equations.
What is "Cramer's Rule?"
The algebraic expressions (a+b) and (a-b) are defined as these and used to divide complex numbers. They also occur in the factor form of the difference of two squares formula.
What are conjugates?
True or False: If the number of columns of the first matrix matches the number of rows of the second matrix, the two matrices can be multiplied.
What is true?
We use this technique to divide polynomials by linear binomials using only co-effecients. Name this technique.
What is "Synthetic Division?"
This famous irrational constant is the base of the natural log or ln(x).
What is e?
This technique also known as "double distribution" is often abbreviated to the acronym FOIL and is a method used to multiply two binomials. Name the word, in order, of the word each letter represents.
What is "First, Outer, Inner, Last"
-i2 is equal to this Real Number.
What is 1?
True or False: Only square matrices can have Inverses.
What is true?
Factor: x2-15x+54
What is (x-9)(x-6)?
Solve: log6(x+2)+log6(x+1)=log6(2)+2log6(x-1).
What is 7?
Simplify: 163/4=
What is 8?
The simplified form of (1-i2)/(1+i).
What is 1-i?
When this number, involved in finding Matrix Inverses, and denoted det(M) or |M| equals 0, a matrix has no Inverse. What is this number called?
What is the determinant?
Name the quadratic formula.
What is -b plus or minus the square root of b2-4ac all over 2a?
Solve:
log4(x-5)+log4(x+7)=3
What is 9?
Factor: 2x2-x-3.
What is (2x-3)(x+1)?
The simplified form of 2-i19(3-i)2
What is 8+8i?
THIS is the formula for the determinant of a 2x2 square matrix.
What is ad-bc?
Factor: x3+2x2-x-2
What is (x-1)(x+1)(x+2)?
Solve:
2eln(x+4)+2x2-7=13?
What is x={-3,2}?
Mr Minton's age (in years): Simplify the square root of 333, divide by 3, and square the result.
What is 37 years?