Question
Easy
If 15x$^2$ – 26x + 8 = (Ax + B) (Cx + D), where A and C are positive integers, then what is the value of (2A + B – C – 2D) ?
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Question Details
Time to Solve: 12
Exam: CTET
Level/Paper: CTET_P2
Chapter: Algebra
Topic: Quadratic Equations
Correct Answer
Option B
Explanation
To solve the problem, we need to factor the quadratic expression \(15x^2 - 26x + 8\) into the form \((Ax + B)(Cx + D)\), where \(A\) and \(C\) are positive integers. We will then calculate the value of \(2A + B - C - 2D\). ### Step-by-Step Explanation: 1. Factor the Quadratic Expression: The given quadratic expression is \(15x^2 - 26x + 8\). We need to find integers \(A\), \(B\),…Read More
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