CBSE Class 10 Answered
Find zeroes of the polynomial
Asked by SHAMLI RAUT | 10 Jun, 2013, 07:37: PM
Expert Answer
Let a, b, c be the zeroes of the given polynomial such that a + b = 0 (since two zeroes are equal in magnitude but opposite in sign)
Now, using the relation between coefficients and zeroes, We have:
Sum of zeroes = -(-5)/1 = 5 = a+b+c
This gives c = 5
Also, product of zeroes = -80/1
This gives 5ab = -80
ab = -16
-a2 = -16 (Since, a+b=0 => b = -a)
So, a = 4, or -4
Now, when a = 4, b = -4
and when a = -4, b = 4
Thus, the roots are 4, -4, 5.
Answered by | 10 Jun, 2013, 10:01: PM
Application Videos
-
Zeroes of a Quadratic Polynomial
This video explains the concept of Zeroes of a Quadratic Polynomial, its Co... -
Zeroes of a Cubic Polynomial
This video explains the concept of Zeroes of a Cubic Polynomial, Factors, L... -
Relationship between Zeroes and Coefficinet of a Cubic ...
This video explains the concept of Zeroes of a Cubic Polynomial. -
Relationship between Zeroes and its Coefficients ...
This video explains the concept of Zeroes of a Quadratic Polynomial, its Co... -
Geometric Meaning of The Zeroes
This video explains a case study based question on the concept of polyno...
Concept Videos
-
Geometric Meaning of The Zeroes
Types, degree and zeroes of a polynomial. Find number of zeroes of the pol... -
Zeroes and Coefficients ...
Relationship between zeroes and coefficients of a polynomial. Formation of... -
Division Algorithm For Polynomials ...
This video explains the division of polynomials with polynomials and solve ... -
Types, degree and zeroes of a polynomial
Types, degree and zeroes of a polynomial. Find number of zeroes of the poly... -
Zeroes and Coefficients
Relationship between zeroes and coefficients of a polynomial. Formation of...
CBSE 10 - Maths
Asked by anubhutiupadhaya | 14 Mar, 2024, 11:57: AM
ANSWERED BY EXPERTCBSE 10 - Maths
Asked by reetudetha | 08 Jan, 2024, 04:12: PM
ANSWERED BY EXPERTCBSE 10 - Maths
Asked by mysticsurya201 | 04 Jan, 2024, 08:25: PM
ANSWERED BY EXPERTCBSE 10 - Maths
Asked by fatehbahadurtiwari3 | 30 Dec, 2023, 06:25: PM
ANSWERED BY EXPERTCBSE 10 - Maths
Asked by dhaneswarnimal80 | 11 Nov, 2023, 06:50: AM
ANSWERED BY EXPERTCBSE 10 - Maths
Asked by skandachiranjeevin | 01 Nov, 2023, 08:58: PM
ANSWERED BY EXPERTCBSE 10 - Maths
the value 'p'for which polynomials x²-(p²-9)x+8has zeroes equal in magnitude but opposite in sign is
Asked by sazimkhan178 | 16 Sep, 2023, 11:27: AM
ANSWERED BY EXPERTCBSE 10 - Maths
Asked by pranavtamboli65 | 09 Jul, 2023, 09:13: PM
ANSWERED BY EXPERTCBSE 10 - Maths
Asked by rekhapreetham | 15 Jun, 2023, 08:23: PM
ANSWERED BY EXPERTCBSE 10 - Maths
Asked by dimpaldihingia2 | 24 May, 2023, 06:10: PM
ANSWERED BY EXPERT
