Exploring Mixed Operations with Polynomials

What does the acronym PEMDAS stand for?

• Parentheses, Exponents, Multiplication, Division, Algebra, Simplification

• Parentheses, Exponents, Multiplication, Division, Addition, Simplification

• Parentheses, Exponents, Multiplication, Division, Algebra, Subtraction

• Parentheses, Exponents, Multiplication, Division, Addition, Subtraction

In the expression 5 + 2 * (X - 1)^2, what should be calculated first according to PEMDAS?

• 2 * (X - 1)

• 5 + (X - 1)

• 5 + 2

• (X - 1)^2

What is the result of (X - 1)^2?

• X^2 - 2X + 1

• X^2 - 1

• X^2 + 1

• X^2 - 2X - 1

After expanding (X - 1)^2, what is the next step in the expression 5 + 2 * (X - 1)^2?

• Multiply 2 by each term in the expanded form

• Square X

• Add 5 and 2

• Subtract 1 from X

In the expression 6X - 1 * (5X + 2)^2, what is the first operation to perform?

• Multiply 6X by (5X + 2)

• Subtract 1 from 6X

• Square (5X + 2)

• Multiply 6X by -1

What is the result of (5X + 2)^2?

• 25X^2 + 20X + 2

• 25X^2 + 10X + 4

• 25X^2 + 20X + 4

• 25X^2 + 4

What is the next step after expanding (5X + 2)^2 in the expression 6X - 1 * (5X + 2)^2?

• Multiply -1 by each term in the expanded form

• Add 6X to the result

• Subtract 1 from 6X

• Multiply 6X by each term in the expanded form

What is the standard form of a polynomial?

• Any order of exponents

• Only the highest exponent

• Highest exponent first, followed by lower exponents

• Lowest exponent first, followed by higher exponents

In the expression f(X) + 2 * g(X)^2, what should be calculated first?

• f(X)

• 2 * g(X)

• f(X) + 2

• g(X)^2

What is the result of multiplying f(X) = 2X - 1 and g(X) = 3X^2 - 5X + 4?

• 6X^3 - 10X^2 + 8X - 1

• 6X^3 - 10X^2 + 8X - 4

• 6X^3 - 10X^2 + 8X - 2

• 6X^3 - 10X^2 + 8X - 3