Question
Factorize 25x2 +16x+40
118
likes590 views
Answer to a math question Factorize 25x2 +16x+40
Esmeralda
4.7102 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.
Frequently asked questions (FAQs)
What is the standard deviation of the following data set: 10, 13, 15, 17, 20, 25, 30, 35, 40?
+
Math question: What is the limit as x approaches 2 of (3x + 1)?
+
What is the number of ways to arrange a group of 5 students out of 10 for a presentation?
+
New questions in Mathematics