Factor the trinomial: 3x^(2)+16 x+16 Answer:

Identify trinomial: Identify the trinomial that needs to be factored. The trinomial given is 3x^2 + 16x + 16.Find two numbers: Look for two numbers that multiply to give the product of the coefficient of x^2 term (3) and the constant term (16), which is 3*16=48, and add up to the coefficient of the x term (16).Find numbers: Find the two numbers that meet the criteria from Step 2. The numbers 4 and 12 multiply to give 48 and add up to 16.Write middle term: Write the middle term (16x) as the sum of two terms using the numbers found in Step 3. 3x^2 + 4x + 12x + 16Factor by grouping: Factor by grouping. Group the first two terms together and the last two terms together. (3x^2 + 4x) + (12x + 16)Factor out common factor: Factor out the greatest common factor from each group. x(3x + 4) + 4(3x + 4)Factor out binomial factor: Factor out the common binomial factor. (x + 4)(3x + 4)

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Factor the trinomial:

3x^(2)+16 x+16
Answer:

Factor the trinomial: $\newline$ $3 x^{2}+16 x+16$ $\newline$ Answer:

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Q. Factor the trinomial:

\newline

3 x^{2}+16 x+16

\newline

Answer:

Identify trinomial: Identify the trinomial that needs to be factored. $\newline$ The trinomial given is $3x^2 + 16x + 16$ .
Find two numbers: Look for two numbers that multiply to give the product of the coefficient of $x^2$ term ( $3$ ) and the constant term ( $16$ ), which is $3 \times 16=48$ , and add up to the coefficient of the $x$ term ( $16$ ).
Find numbers: Find the two numbers that meet the criteria from Step $2$ . $\newline$ The numbers $4$ and $12$ multiply to give $48$ and add up to $16$ .
Write middle term: Write the middle term $16x$ as the sum of two terms using the numbers found in Step $3$ . $3x^2 + 4x + 12x + 16$
Factor by grouping: Factor by grouping. Group the first two terms together and the last two terms together. $\newline$ $(3x^2 + 4x) + (12x + 16)$
Factor out common factor: Factor out the greatest common factor from each group. $x(3x + 4) + 4(3x + 4)$
Factor out binomial factor: Factor out the common binomial factor. $\newline$ $(x + 4)(3x + 4)$