SOLUTION: factor: can u show the steps please,,,thanks 308) 7x²+43x+6 309) 8x²-22x+5

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Question 177182: factor: can u show the steps please,,,thanks
308) 7x²+43x+6

309) 8x²-22x+5

Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
show the steps please,,,thanks
308) 7x²+43x+6
Think of two numbers whose product is AC = 7*6 = 42
and whose sun is 43
The numbers are 42 and 1
---------------------------------
Rewrite the Problem:
7x^2 + 42x + x + 6
Factor the 1st two and the last two terms separately:
7x(x + 6) + 1(x+6)
Factor again:
(x+6)(7x+1)
==================================
309) 8x²-22x+5
8x^2 -20x -2x + 5
4x(2x-5) - 1(2x - 5)
(2x - 5)(4x - 1)
====================
Cheers
Stan H.


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