Factor the trinomial: 2x^(2)+13 x+15 Answer:

Identify Coefficients: Identify the coefficients of the quadratic trinomial. The quadratic trinomial is in the form ax^2 + bx + c, where a, b, and c are constants. For the trinomial 2x^2 + 13x + 15, we have: a = 2 b = 13 c = 15Find Multiplying Numbers: Find two numbers that multiply to ac (a times c) and add up to b. ac = 2 * 15 = 30 We need two numbers that multiply to 30 and add up to 13. After checking possible pairs of factors of 30, we find that: 6 * 5 = 30 6 + 5 = 11 We need to re-evaluate since our sum is not correct; we are looking for a sum of 13, not 11.

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Q. Factor the trinomial:

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2 x^{2}+13 x+15

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Answer:

Identify Coefficients: Identify the coefficients of the quadratic trinomial. $\newline$ The quadratic trinomial is in the form $ax^2 + bx + c$ , where $a$ , $b$ , and $c$ are constants. $\newline$ For the trinomial $2x^2 + 13x + 15$ , we have: $\newline$ $a = 2$ $\newline$ $b = 13$ $\newline$ $c = 15$
Find Multiplying Numbers: Find two numbers that multiply to $ac$ ( $a$ times $c$ ) and add up to $b$ . $\newline$ $ac = 2 \times 15 = 30$ $\newline$ We need two numbers that multiply to $30$ and add up to $13$ . $\newline$ After checking possible pairs of factors of $30$ , we find that: $\newline$ $6 \times 5 = 30$ $\newline$ $6 + 5 = 11$ $\newline$ We need to re-evaluate since our sum is not correct; we are looking for a sum of $13$ , not $a$ $1$ .