Factors of Quadratic Equation


 
 
Concept Explanation
 

Factors of Quadratic Equation

Factors of Quadratic Equations: Factors of a quadractic equation are expressions whose product is zero

Solution of Quaratic Equations: The solution or root is that value of x for which the expression becomes zero. If large alpha is the solution of the quadratic equation large ax^2+bx+c= 0 then

large aalpha^2+balpha+c= 0.

Example:Check whether x=1  is a solution of equation large 3x^2-2x+1= 0

Solution: Putting the value of x in the equation we get

large 3(1)^2-2(1)+1= 0

large 3-2+1= 0

large 2neq 0

Hence x= 1 is not a solution of the equation or x-1 is not factor of the equation.

Example:Check whether x= -1  is a solution of equation large x^2+6x+5= 0

Solution: Putting the value of x in the equation we get

large (-1)^2+6(-1)+5= 0

large 1-6+5= 0

large 0= 0

Hence x=  -1 is a solution of the equation or x+1 is a factor of the equation.

Sample Questions
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Question : 1

Factorize:  x^2+z^2-2xz

Right Option : A
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Explanation
Question : 2

Factorize:  a^2+4z^2-4az

Right Option : A
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Explanation
Question : 3

Find the value of sqrt{{a}sqrt{asqrt{a}}}.............varpi

Right Option : D
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Explanation
 
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