How to factor x^2−10x−24?

BySolutionlogy
How to factor x^2−10x−24?Question: How to factor x2−10x−24? Solution: We have to find the factors of given quadratic equation Factoring out the expression by grouping. First, the expression needs to be rewritten as x2+ax+bx−24. To find a and b, we will set up a system to be solved. a+b=−10 ab=1(−24)=−24 Since ab is negative, a and b have the opposite signs. Since a+b is negative, the negative number has greater absolute value than the positive. Listing all such integer pairs that give product 1,−24 2,−12 3,−8 4,−6 Calculating the sum for each pair, we get 1−24=−23 2−12=−10 3−8=−5 4−6=−2 The solution is the pair that gives sum −10. a=−12 b=2 Rewriting x2−10x−24 as (x2−12x)+(2x−24). (x2−12x)+(2x−24) Factoring out x in the first and 2 in the second group, we get x(x−12)+2(x−12) Factor out common term x−12 by using distributive property. (x−12)(x+2) Hence, the factors of x2−10x−24 are (x−12)(x+2) Conclusion On factorizing x2−10x−24 we get (x−12)(x+2)

Similar Posts

[Solved] If 4 apples and 6 bananas cost $1.56, and 9 apples and 7 bananas cost $2.60, what is the cost of one apple and one banana?

BySolutionlogy

Question: If 4 apples and 6 bananas cost $1.56, and 9 apples and 7 bananas cost $2.60. What are the cost of one apple and one banana? We will solve the system of linear equations using the elimination method. Step 1: Set up the equations We are given the following information: Let x be the…

Given example of a relation which is reflexive and transitive but not symmetric.

BySolutionlogy

Here’s an example of a relation on the set A = {1,2,3} which is reflexive and transitive but not symmetric: Let’s define the relation R on set A as R = {(1,1),(2,2),(3,3),(1,2),(2,3)} Therefore, the relation R is reflexive, transitive, but not symmetric.

[Solved] Caroline is making a triangular flag with a base of 10 inches and a height of 8 inches. What is the area of the flag?

BySolutionlogy

To find the area of a triangle, we use the formula: Area=12×base×heightArea=21​×base×height Concept Used: Area of a Triangle The area of a triangle is half the product of its base and height. Detailed Explanation: 1. Identify the Given Information From the problem, we know: 2. Apply the Formula to Find the Area Using the formula…

Leave a Reply

Your email address will not be published. Required fields are marked *