A2 Final Exam part 5 & 6

Front

What is the result of expanding (5x+2)(x^2-3x+6)?

Back

5x^3 - 13x^2 + 24x + 12

Front

Solve for x: \sqrt{8-6x} = \sqrt{x+8}

Back

x = 0

Front

What is the equation for the graph represented by the roots x=2 and x=-3?

Back

y=(x-2)(x+3)

Front

Solve the equation for x: 2x + 3 = 3

Back

x = 0

Front

Find the least common denominator of the expressions 3/x and 6/y.

Back

6xy

Front

What is the definition of a polynomial?

Back

A polynomial is a mathematical expression consisting of variables, coefficients, and non-negative integer exponents.

Front

What is the quadratic formula?

Back

The quadratic formula is x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a} for the equation ax^2 + bx + c = 0.

Front

What is the difference between a rational and an irrational number?

Back

A rational number can be expressed as a fraction of two integers, while an irrational number cannot be expressed as a simple fraction.

Front

What is the process of factoring a quadratic equation?

Back

Factoring a quadratic equation involves expressing it as a product of two binomials.

Front

What is the definition of a function?

Back

A function is a relation that assigns exactly one output for each input.