$$ 3 x^{2}+25 x-18 $$ Which of the following is a factor of the polynomial above?

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UpStudy AI · Accepted Answer

To find the factors of the polynomial $$3x^{2}+25x-18$$, we can use the method of factoring by grouping.

First, we need to find two numbers whose product is $$3 \times -18 = -54$$ and whose sum is $$25$$. These numbers are $$27$$ and $$-2$$.

Now, we can rewrite the polynomial as:
$$3x^{2}+25x-18 = 3x^{2}+27x-2x-18$$

Next, we can factor out the common terms:
$$3x^{2}+27x-2x-18 = 3x(x+9)-2(x+9)$$

Finally, we can factor out the common binomial factor $$(x+9)$$:
$$3x(x+9)-2(x+9) = (3x-2)(x+9)$$

Therefore, the factors of the polynomial $$3x^{2}+25x-18$$ are $$(3x-2)$$ and $$(x+9)$$.
The factors of the polynomial $$3x^{2}+25x-18$$ are $$(3x-2)$$ and $$(x+9)$$.

Which of the following is a factor of the polynomial above?

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