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if alpha and beta are zeros of the quadratic polynomial such that alpha + beta is equ al to 24 and Alpha minus beta is equal to 8 find the quadratic polynomial having alpha and beta as heroes verify the relationship between zeros and coefficient of polynomial
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if alpha and beta are zeros of the quadratic polynomial such that alph...
Let A=alpha,
B= beta,
given that , A+B=24,--(1).
A-B=8,--(2).
from (1) and (2) by elimination method,
2A=32,
A=16,
putting A=16 in (1).
16+B=24,
B=24-16=8,
sum of zeros=A+B=24,
product of zeros=A.B=24.8=182,
p(x)=x²-( sum of zeros )x+product of zeros,
=x²-24x+182,
verification of the relationship between zeros and Coefficient can be defined as:
sum of zeros=-b/a,
LHS=A+B=24,
RHS=-b/a=-(-24)/1=24,
LHS=RHS,
now product of zeros=c/a,
LHS=A.B=182,
RHS=c/a=182/1=182,
LHS=RHS
B= beta,
given that , A+B=24,--(1).
A-B=8,--(2).
from (1) and (2) by elimination method,
2A=32,
A=16,
putting A=16 in (1).
16+B=24,
B=24-16=8,
sum of zeros=A+B=24,
product of zeros=A.B=24.8=182,
p(x)=x²-( sum of zeros )x+product of zeros,
=x²-24x+182,
verification of the relationship between zeros and Coefficient can be defined as:
sum of zeros=-b/a,
LHS=A+B=24,
RHS=-b/a=-(-24)/1=24,
LHS=RHS,
now product of zeros=c/a,
LHS=A.B=182,
RHS=c/a=182/1=182,
LHS=RHS
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if alpha and beta are zeros of the quadratic polynomial such that alpha + beta is equ al to 24 and Alpha minus beta is equal to 8 find the quadratic polynomial having alpha and beta as heroes verify the relationship between zeros and coefficient of polynomial Related: Additional Questions Solution - Polynomials? for Class 10 2026 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about if alpha and beta are zeros of the quadratic polynomial such that alpha + beta is equ al to 24 and Alpha minus beta is equal to 8 find the quadratic polynomial having alpha and beta as heroes verify the relationship between zeros and coefficient of polynomial Related: Additional Questions Solution - Polynomials? covers all topics & solutions for Class 10 2026 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for if alpha and beta are zeros of the quadratic polynomial such that alpha + beta is equ al to 24 and Alpha minus beta is equal to 8 find the quadratic polynomial having alpha and beta as heroes verify the relationship between zeros and coefficient of polynomial Related: Additional Questions Solution - Polynomials?.
if alpha and beta are zeros of the quadratic polynomial such that alpha + beta is equ al to 24 and Alpha minus beta is equal to 8 find the quadratic polynomial having alpha and beta as heroes verify the relationship between zeros and coefficient of polynomial Related: Additional Questions Solution - Polynomials? for Class 10 2026 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about if alpha and beta are zeros of the quadratic polynomial such that alpha + beta is equ al to 24 and Alpha minus beta is equal to 8 find the quadratic polynomial having alpha and beta as heroes verify the relationship between zeros and coefficient of polynomial Related: Additional Questions Solution - Polynomials? covers all topics & solutions for Class 10 2026 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for if alpha and beta are zeros of the quadratic polynomial such that alpha + beta is equ al to 24 and Alpha minus beta is equal to 8 find the quadratic polynomial having alpha and beta as heroes verify the relationship between zeros and coefficient of polynomial Related: Additional Questions Solution - Polynomials?.
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