Question
Factorize 25x2 +16x+40
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Answer to a math question Factorize 25x2 +16x+40
Esmeralda
4.795 Answers
1. Start with the quadratic expression:
25x^2 + 16x + 40
2. Compute the discriminant to confirm it's not resolvable over integers (if not specified):
b^2 - 4ac = 16^2 - 4 \cdot 25 \cdot 40 = 256 - 4000 = -3744
3. Since the discriminant is negative, it has no real roots; hence its integer factorization is not possible, verifying its irreducibility over real numbers.
4. Therefore, exact integer polynomial factorization is not feasible, leading to:
Answer: The expression remains factorized in its original quadratic form for integers, however for real solutions use quadratic formula solutions if applicable.
This reflects the complete step-by-step process for handling this expression.
2. Compute the discriminant to confirm it's not resolvable over integers (if not specified):
3. Since the discriminant is negative, it has no real roots; hence its integer factorization is not possible, verifying its irreducibility over real numbers.
4. Therefore, exact integer polynomial factorization is not feasible, leading to:
Answer: The expression remains factorized in its original quadratic form for integers, however for real solutions use quadratic formula solutions if applicable.
This reflects the complete step-by-step process for handling this expression.
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