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Vera_Pavlovna [14]
3 years ago
14

What is the factorization of 2x2 + 5x + 3?

Mathematics
2 answers:
Vilka [71]3 years ago
8 0

Answer:

(2x+3)(x + 1)

Step-by-step explanation:\

Since the first term has a coefficient, multiply 3 by 2 which results in 6.

Now to break the equation into groups, we have to find two integers that have a product of 6 and a sum of 5. The two integers are 2 and 3.

2x² + 5x + 3

= (2x² + 2x) + (3x + 3)

Factor out the GCF.

2x (x + 1) + 3(x + 1)

Divide the whole equation by x+1.

Now you're left with (x + 1) and (2x+3)

I am Lyosha [343]3 years ago
5 0
The answer should be A. Hope this helps
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x(x + 2) = 15 \\  \\  {x}^{2}  + 2x = 15 \\  \\  {x}^{2}  + 2x - 15 = 0 \\  \\  {x}^{2}  + 5x - 3x - 15 = 0 \\  \\ x(x + 5) - 3(x + 5) = 0 \\  \\ (x + 5)(x - 3) = 0 \\  \\ x + 5 = 0 \: or \:  \: x - 3 = 0 \\  \\ x =  - 5  \:  \: or \:  \: x = 3 \\  \\  \because \: x \: can \: not \: be \:  - ve \\  \\  \therefore \: x = 3 \\   \\  \implies \: x + 2 = 3 + 2 = 5 \\  \\ perimeter \: of \: rectngle  \\ = 2(5 + 3)  \\  = 2 \times 5 \\  = 16 \: ft

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