CBSE Class 10 Answered
If the zeroes of the polynomial x3 – 3x2
+ x + 1 are a – b, a, a + b, find a and b
Asked by pramodmahto80 | 15 Dec, 2022, 04:30: PM
Expert Answer
P(x) = x3 - 3x2 + x + 1
It is given that a-b, a and a+b are the zeroes of this polynomial P(x)
Using the relation between zeroes and coefficients, we have
(a-b)+a+(a+b) = -(-3)/1
3a = 3
Therefore, a = 1
Also, (a-b)a(a+b) = -1
i.e. a(a2 - b2) = -1
i.e. 1 - b2 = -1
i.e. b2 = 2
Therefore, b = sqrt{2}, -sqrt{2}
Answered by Renu Varma | 15 Dec, 2022, 04:54: PM
Application Videos
-
Zeroes of a Quadratic Polynomial
This video explains the concept of Zeroes of a Quadratic Polynomial, its Co... -
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...
Concept Videos
-
Zeroes and Coefficients ...
Relationship between zeroes and coefficients of a polynomial. Formation of... -
Zeroes and Coefficients
Relationship between zeroes and coefficients of a polynomial. Formation of... -
Zeroes and Coefficients
Relationship between zeroes and coefficients of a polynomial. Formation of... -
Polynomials
Polynomials, Zeroes and Coefficients -
zeros of polynomial
This video covers an application on zeros of polynomials
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
