Question

factor trinomials (a>1) level 1
score: 0/2 penalty: 1 off
question
factor the trinomial:
$5x^2 + 41x + 42$
answer attempt 1 out of 2
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Explanation:

Step1: Multiply leading & constant terms

$5 \times 42 = 210$

Step2: Find pair summing to 41

We need two numbers that multiply to 210 and add to 41: $6$ and $35$ (since $6 \times 35=210$, $6+35=41$)

Step3: Split middle term

$5x^2 + 35x + 6x + 42$

Step4: Factor by grouping

$5x(x + 7) + 6(x + 7)$

Step5: Factor out common binomial

$(5x + 6)(x + 7)$

Answer:

$(5x + 6)(x + 7)$