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)
Math Question: In a triangle, if side a has a length of 8, side b has a length of 11, and angle C measures 60 degrees, what is the measure of angle A?
+
What is the component of vector v = (3, -4) along the unit vector u = (0.6, 0.8)?
+
Math Question: What is the formula to find the surface area of a cube? (up to 200 characters long)Answer: The formula to find the surface area of a cube is SA = 6s^2, where SA refers to surface area and s represents the length of a side. (
+
New questions in Mathematics