Factor the trinomial: 3x2 + 11x + 6

1 answer:

5 0

$3x^2+11x+6$

$(3x^2+2x) + (9x+6)$

Factor out x from

$3x^2+2x = x(3x+2)$

Factor out 3 from

$9x+6 = 3(3x+2)$

$= x(3x+2)+3(3x+2)$

Factor out common term $(3x+2) :$

$=(3x+2)(x+3)$

hope this helps!

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Answer: First option.

Step-by-step explanation:

The complete exercise is attached.

In order to solve this exercise, it is necessary to remember the following property:

The Multiplication property of Equality states that:

$If\ a=b\ then\ a*c=b*c$

In this case, the equation that Jada had is the folllowing:

$-\frac{4}{9}=\frac{x}{108}$

Jada needed to solve for the variable "x" in order to find its value.

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As you can notice in the picture, Jada did not multiply both sides of the equation by 108, but multiplied the left side by $-\frac{4}{9}$ <em> </em>and the right side by $-\frac{9}{4}$ .