Question

factor trinomials (a>1) level 3
question
factor completely.
$6x^2 - 17x + 5$

Explanation:

Step1: Find product of a and c

$a=6, c=5$, so $6×5=30$

Step2: Find factors of 30 summing to -17

Factors: -15 and -2 (since $-15×(-2)=30$, $-15+(-2)=-17$)

Step3: Split middle term

$6x^2 -15x -2x +5$

Step4: Factor by grouping

$3x(2x -5) -1(2x -5)$

Step5: Factor out common binomial

$(2x -5)(3x -1)$

Answer:

$(2x - 5)(3x - 1)$