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Irina18 [472]
3 years ago
15

If (ax+2)(x+b) = 3x^2 + 5x + c for all values of x, what is the value of c?

Mathematics
1 answer:
Papessa [141]3 years ago
5 0

Answer:

c=2

Step-by-step explanation:

(ax+2)(x+b) = ax^2+2x+abx+2b = ax^2+(2+ab)x+2b

Given, ax^2+(2+ab)x+2b = 3x^2+5x+c

a=3

2+ab=5 => 2+3b=5 => 3b=5-2=3 => b=1

2b=c => c=2*1 = 2

So, c=2

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Step-by-step explanation:

we know that

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That means

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step 2

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Convert to mixed number

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