Algebra 2 3.1-3.5

Front

Factor completely: 3x² + 5x - 12

Back

(3x - 4)(x + 3)

Front

Simplify \(\sqrt[]{-5} \cdot \sqrt[]{10}\)

Back

\(5i \sqrt[]{2}\)

Front

What are the factors of 25x² - 81?

Back

(5x - 9)(5x + 9)

Front

Factor d² - 10d + 25

Back

(d - 5)(d - 5)

Front

Simplify \(\sqrt[]{-24}\)

Back

\(2i \sqrt[]{6}\)

Front

What is the definition of a polynomial?

Back

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

Front

What is the degree of the polynomial 4x^3 - 2x^2 + 7?

Back

The degree is 3, which is the highest exponent of the variable.

Front

What is the quadratic formula?

Back

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

Front

What does it mean for a polynomial to be factored completely?

Back

A polynomial is factored completely when it is expressed as a product of irreducible polynomials.

Front

What is the difference of squares formula?

Back

The difference of squares formula states that \(a^2 - b^2 = (a - b)(a + b)\).