Question

factor trinomials (a>1) level 3
score: 14.75/20 penalty: 0.25 off
question
factor completely.
$2x^2 - 5x + 3$

Explanation:

Step1: Multiply a and c

$2 \times 3 = 6$

Step2: Find factors of 6 summing to -5

$-2$ and $-3$

Step3: Split middle term

$2x^2 - 2x - 3x + 3$

Step4: Group and factor

$2x(x - 1) - 3(x - 1)$

Step5: Factor out common binomial

$(2x - 3)(x - 1)$

Answer:

$(2x - 3)(x - 1)$