Factor Quadratic Trinomials with Leading Coefficient Other than 1: example 7.40

Factor: $2 x^{2} + 6 x + 5$ .

Work it out on paper first. Then open the solution one step at a time, and stop as soon as you can finish on your own.

Factors of $10$	Sum of factors
$1, 10$	$1 + 10 = 11$
2, 5	$2 + 5 = 7$

Your turn

The book's Try It right after this example: same idea, new numbers. Only the answer is given.

Factor: $10 t^{2} + 19 t - 15$ .

How did it go?

Is there a greatest common factor? No.
Find $a \cdot c$ .	$a \cdot c$
	$2 (5)$
	$10$