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Question

Factorize 5 x2 + 8x + 35 = 0 into the form 5 x2 + px + qx +35 = 0.Find the value of p and q.


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Solution

Multiply 5 with 35 and we get 15

Pairs of 15 are

1×15 = 15 sum 1+ 15 = 16

5×3= 15 sum 5 + 3 = 8

So our required pair is 5 and 3

5 x2 + 8x + 35 = 0

5 x2 + 5x + 3x +35 = 0

So, p = 5 and q = 3.​


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