SOLUTION: Find the constants a and b such that x^2+4*x+a=(x+1)*(x+b)

SOLUTION: Find the constants a and b such that x^2+4x+a=(x+1)(x+b)

Question 862552: Find the constants a and b such that x^2+4*x+a=(x+1)*(x+b)
Answer by josgarithmetic(39618) (Show Source): You can put this solution on YOUR website!
Hint: Corresponding Positions.

Right-hand side is .
Original left side then means .
Use the hint.
Done???
"No".

Trying a little more thoroughly,
was given.

.
Now, these are two equal quadratic expressions. Both expressions are arranged in decreasing powers of x. Coefficients in corresponding positions are equal.
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