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Q.

Find the common factor in the quadratic polynomials x2 + 8x + 15 and x2 + 3x – 10.

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a

(x + 5)

b

(x - 2)

c

(x + 2)

d

(x - 3)

answer is B.

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Detailed Solution

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Given Polynomial : x2 + 8x + 15 

                                = x2 + 5x + 3x + 15  

                                = (x + 3) (x + 5)
 

Given polynomial : x2 + 3x – 10 

                             = x2 + 5x – 2x – 10 

                             = (x – 2) (x + 5)
Clearly, the common factor is x + 5.

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