Factor completely. 3x^(2)+33 x+90=

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Factor completely.  3x^(2)+33 x+90=

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Identify Quadratic Trinomial: Identify the quadratic trinomial and its coefficients. The given quadratic trinomial is 3x^2 + 33x + 90, where the coefficients are a = 3, b = 33, and c = 90.Find Multiplying Numbers: Look for two numbers that multiply to ac (a times c) and add up to b. We need to find two numbers that multiply to 3 * 90 = 270 and add up to 33.Determine Two Numbers: Find the two numbers. The two numbers that multiply to 270 and add up to 33 are 15 and 18. Check: 15 * 18 = 270 and 15 + 18 = 33.Rewrite Middle Term: Rewrite the middle term using the two numbers found in Step 3. Rewrite 33x as 15x + 18x, so the expression becomes 3x^2 + 15x + 18x + 90.Factor by Grouping: Factor by grouping. Group the terms into two pairs: (3x^2 + 15x) and (18x + 90). Factor out the greatest common factor from each pair. The greatest common factor of the first pair is 3x, and the second pair is 18. The expression becomes 3x(x + 5) + 18(x + 5).Factor Out Common Factor: Factor out the common binomial factor. The common binomial factor is (x + 5). Factor out (x + 5) from the expression to get (x + 5)(3x + 18).Simplify Second Factor: Simplify the second factor if possible. The second factor 3x + 18 can be simplified by factoring out a 3. The expression becomes (x + 5)(3(x + 6)).Write Final Factored Form: Write the final factored form. The final factored form of the expression 3x^2 + 33x + 90 is (x + 5)(3x + 18).

Factor completely. $\newline$ $3x^{2}+33x+90=$

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Factor completely.\newline3x2+33x+90=3x^{2}+33x+90=3x2+33x+90=

Factor completely. $\newline$ $3x^{2}+33x+90=$