First 15 Nov 8 (3B)

Front

What is the factored form of the expression 49x² - 16?

Back

(7x + 4)(7x - 4)

Front

What does the Complex Conjugate Root Theorem state about complex roots?

Back

If -2-5i is a root, then -2+5i is also a root.

Front

Is the statement true or false? The 2nd term shows that it is 2 times the answer when you multiply the factors of perfect squares, x² and 9 in the expression x² - 5x + 9.

Back

FALSE

Front

What are the factors of the expression x² - 100?

Back

(x + 10)(x - 10)

Front

What is the factorization of the quadratic expression b² - 50b + 625?

Back

(b - 25)²

Front

What is the definition of a perfect square trinomial?

Back

A perfect square trinomial is a quadratic expression that can be factored into the square of a binomial.

Front

How do you apply the difference of squares formula?

Back

The difference of squares formula states that a² - b² = (a + b)(a - b).

Front

What is the significance of complex conjugates in polynomial equations?

Back

Complex conjugates ensure that polynomial equations with real coefficients have roots that come in pairs.

Front

What is the general form of a quadratic equation?

Back

The general form of a quadratic equation is ax² + bx + c = 0, where a, b, and c are constants.

Front

What is the process for factoring a quadratic expression?

Back

To factor a quadratic expression, find two numbers that multiply to ac (the product of a and c) and add to b.