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Eddi Din [679]
3 years ago
10

+5x+3.

Mathematics
1 answer:
Nimfa-mama [501]3 years ago
4 0
<h3><u>Question:</u></h3>

2x^2 + 5x + 3

What are the factors of the polynomial?

(2x+3)(x+1)

(2x-3)(x-1)

(3x+2)(x+1)

(3x-2)(x-1)

<h3><u>Answer:</u></h3>

<em><u>Option A</u></em>

<em><u>The factors are:</u></em>

2x^2+5x+3 = (2x+3)(x+1)

<h3><u>Solution:</u></h3>

Given that, the quadratic equation is:

2x^2 + 5x + 3

We have to find the factors of polynomial

<h3><u>Find the factors:</u></h3>

2x^2+5x+3

Split 5x as 2x and 3x

2x^2+5x+3 = 2x^2 +2x + 3x + 3

\mathrm{Break\:the\:expression\:into\:groups}

2x^2+5x+3=\left(2x^2+2x\right)+\left(3x+3\right)

\mathrm{Factor\:out\:}2x\mathrm{\:from\:}2x^2+2x\mathrm{:\quad }2x\left(x+1\right)

Thus we get,

2x^2+5x+3 = 2x(x+1) + (3x+3)

\mathrm{Factor\:out\:}3\mathrm{\:from\:}3x+3\mathrm{:\quad }3\left(x+1\right)

Thus we get,

2x^2+5x+3 = 2x(x+1) + 3(x+1)

\mathrm{Factor\:out\:common\:term\:}x+1

Thus we get,

2x^2+5x+3 = (2x+3)(x+1)

Thus the factors are found for given polynomial

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