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Question

If (mx+7)(5x+n)=px2+15x+14, x ϵ R, then m+n+p=

A
62
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B
62
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C
58
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D
None
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Solution

The correct option is C 58
Given,
(mx+7)(5x+n)=px2+15x+14

5mx2+mnx+35x+7n=px2+15x+14

On comparing p=5m,mn+35=15,7n=14

n=2

Also mn+35=15,m×2=20m=10

and p=5m=5(10)=50

Therefore m+n+p=21060=58

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