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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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cameron is 3 years old older than karlee. karlee is two years older than denise. the sum of cameron,karlee,and denise age is 49.
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Subtract 5 (Cameron) and 2 (Karlee) from 49.

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49 - 7 = 42

42 divide by 3 = 14

Check:

14 + 5 = 19

14 + 2 = 16

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Hopes this helps!

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These are the types of relationships that are used to relate objects to the location of somethings else. It makes use of words like under, above etc.

It is one of the knowledge that children need in the preoperational stage to learn how to use logical operations.

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