Factor completely. 5x^(2)+36 x+7 Answer:

Determine Factoring Possibility: First, we need to determine if the quadratic expression can be factored using the standard factoring methods for trinomials. The expression is in the form ax^2 + bx + c, where a = 5, b = 36, and c = 7. We need to find two numbers that multiply to ac (5 * 7 = 35) and add up to b (36).Find Factors: We try to find two numbers that multiply to 35 and add up to 36. However, the only pairs of factors of 35 are (1, 35) and (5, 7), and neither of these pairs add up to 36. This means that the quadratic expression cannot be factored using simple factorization methods.Use Quadratic Formula: Since the expression cannot be factored easily, we can attempt to use the quadratic formula to find the roots of the equation 5x^2 + 36x + 7 = 0. However, since the problem asks for a factorization, not the roots, we can conclude that the expression is prime and cannot be factored over the integers.

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Factor completely.

5x^(2)+36 x+7
Answer:

Factor completely. $\newline$ $5 x^{2}+36 x+7$ $\newline$ Answer:

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Q. Factor completely.

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5 x^{2}+36 x+7

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Answer:

Determine Factoring Possibility: First, we need to determine if the quadratic expression can be factored using the standard factoring methods for trinomials. The expression is in the form $ax^2 + bx + c$ , where $a = 5$ , $b = 36$ , and $c = 7$ . We need to find two numbers that multiply to $ac$ ( $5 \times 7 = 35$ ) and add up to $b$ ( $36$ ).
Find Factors: We try to find two numbers that multiply to $35$ and add up to $36$ . However, the only pairs of factors of $35$ are $(1, 35)$ and $(5, 7)$ , and neither of these pairs add up to $36$ . This means that the quadratic expression cannot be factored using simple factorization methods.
Use Quadratic Formula: Since the expression cannot be factored easily, we can attempt to use the quadratic formula to find the roots of the equation $5x^2 + 36x + 7 = 0$ . However, since the problem asks for a factorization, not the roots, we can conclude that the expression is prime and cannot be factored over the integers.