Math, asked by jyotisanu739, 6 months ago

Factorise:

2. 2x²+ 11x +14​

Answers

Answered by yash2437
0

2x^2+11x+14

2

x

2

+

11

x

+

14

For a polynomial of the form

a

x

2

+

b

x

+

c

, rewrite the middle term as a sum of two terms whose product is

a

c

=

2

14

=

28

and whose sum is

b

=

11

.

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2

x

2

+

4

x

+

7

x

+

14

Factor out the greatest common factor from each group.

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2

x

(

x

+

2

)

+

7

(

x

+

2

)

Factor the polynomial by factoring out the greatest common factor,

x

+

2

.

(

x

+

2

)

(

2

x

+

7

)

Answered by tanushree06
2

Answers:(2x+7)(x+2)

Step-by-step explanation:

2x^2+4x+7x+14

2x(x+2)7(x+2)

=(2x+7)(x+2)

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