Unit 4B Flashcard Review

Front

What is the first step to solving the equation a² + 10a + 21 = 0 by completing the square?

Back

Subtract 21 from both sides.

Front

Find the missing value 'c' to create a perfect square trinomial: x² - 8x + ___

Back

16

Front

What number should be added to complete the square for the expression x² + 14x + ___?

Back

49

Front

Solve by the Square Root method: x² = 16

Back

± 4

Front

Solve by the Square Root method: -5x² = -50

Back

± √10

Front

What is a perfect square trinomial?

Back

A trinomial that can be expressed as the square of a binomial.

Front

How do you complete the square for the expression x² + bx?

Back

Take (b/2)² and add it to both sides.

Front

What is the formula for the square of a binomial (a + b)²?

Back

a² + 2ab + b²

Front

What is the formula for the square of a binomial (a - b)²?

Back

a² - 2ab + b²

Front

What is the relationship between the roots of the equation x² + bx + c = 0 and the coefficients?

Back

The sum of the roots is -b and the product is c.