Question

question
factor completely.
\\( 3x^2 + 5x - 8 \\)
answer attempt 1 out of 2

Explanation:

Step1: Find product of a and c

$a=3, c=-8$, so $a \times c = 3 \times (-8) = -24$

Step2: Find two numbers for sum 5

Find two numbers that multiply to -24 and add to 5: 8 and -3

Step3: Split middle term

$3x^2 + 8x - 3x - 8$

Step4: Factor by grouping

Group first two and last two terms: $(3x^2 + 8x) + (-3x - 8) = x(3x + 8) - 1(3x + 8)$

Step5: Factor out common binomial

$(3x + 8)(x - 1)$

Answer:

$(x + \frac{8}{3})(3x - 3)$ or simplified as $(3x - 3)(x + \frac{8}{3})$; further simplified integer factors: $(3x - 3)(x + \frac{8}{3})$ can be adjusted to $(x - 1)(3x + 8)$