(4A) Flashcard1 T5 Factoring Trinomials

Front

What is the factored form of k² + 7k + 10?

Back

(k + 2)(k + 5)

Front

How do you factor the expression 4a² - 25?

Back

(2a + 5)(2a - 5) - This is a difference of squares.

Front

What are the decreasing intervals of the function represented by the graph?

Back

(-3, 1) - This indicates where the function is decreasing.

Front

Multiply (2x + 3)(3x + 4). What is the result?

Back

6x² + 17x + 12

Front

Factor the trinomial x² - 8x + 15. What is the factored form?

Back

(x - 5)(x - 3)

Front

What is a trinomial?

Back

A polynomial with three terms.

Front

What is the difference of squares?

Back

A² - B² = (A + B)(A - B) - A method for factoring.

Front

What is the standard form of a quadratic equation?

Back

ax² + bx + c, where a, b, and c are constants.

Front

What does it mean for a function to be increasing?

Back

The function's output values rise as the input values increase.

Front

What is the vertex form of a quadratic function?

Back

y = a(x - h)² + k, where (h, k) is the vertex.