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factor trinomials (a>1) level 3 question factor completely. $5x^2 + 4x …

Question

factor trinomials (a>1) level 3
question
factor completely.
$5x^2 + 4x - 9$
answer attempt 1 out of 2

Explanation:

Step1: Multiply a and c

$5 \times (-9) = -45$

Step2: Find two factors of -45

Factors: 9 and -5 (since $9 + (-5) = 4$)

Step3: Split middle term

$5x^2 + 9x - 5x - 9$

Step4: Group and factor

$x(5x + 9) - 1(5x + 9)$

Step5: Factor out common binomial

$(5x + 9)(x - 1)$

Answer:

$(5x + 9)(x - 1)$