Algebra 2 1st Semester Final Exam (P2)

Front

Add: 4√7 - 10√7 + 7√7

Back

√7

Front

What is the complex conjugate of -7?

Back

-7, because it has no imaginary part.

Front

What is the equation of the graph that represents a shift of 4 units up and 5 units to the right from the basic square root function?

Back

y = √(x - 5) + 4

Front

Given the polynomial x² - 8x + 15, what are the relationships between the roots p and q?

Back

p + q = -8, p * q = 15

Front

Simplify \(\frac{x^4 + 2x^3 + 2x + 4}{x + 2}\) using long or synthetic division.

Back

x³ + 2

Front

What is the definition of a complex conjugate?

Back

The complex conjugate of a complex number a + bi is a - bi.

Front

What is the quadratic formula?

Back

The quadratic formula is \(x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}\) for the equation ax² + bx + c = 0.

Front

What does it mean for two polynomials to be equivalent?

Back

Two polynomials are equivalent if they have the same degree and their coefficients are equal for corresponding terms.

Front

What is the vertex form of a quadratic function?

Back

The vertex form is given by \(y = a(x - h)^2 + k\), where (h, k) is the vertex.

Front

How do you find the roots of a polynomial?

Back

You can find the roots by factoring, using the quadratic formula, or applying synthetic division.