Find the quadratic polynomial whose zeroes are and 4
Asked by admin @ in Math viewed by 303 People
)A quadratic polynomial, whose zeroes are -4 and -5, is *
Answered by admin @
EXPLANATION.
Quadratic polynomial.
Whose zeroes are = - 4 and - 5.
As we know that,
Let one zeroes be = - 4 = α.
Other zeroes be = - 5 = β.
Sum of the zeroes of the quadratic polynomial.
⇒ α + β = - b/a.
⇒ - 4 + (-5) = - 9.
⇒ α + β = - 9. - - - - - (1).
Products of the zeroes of the quadratic polynomial.
⇒ αβ = c/a.
⇒ (-4) x (-5) = 20.
⇒ αβ = 20. - - - - - (2).
As we know that,
Formula of quadratic polynomial.
⇒ x² - (α + β)x + αβ.
Put the values in the equation, we get.
⇒ x² - (-9)x + (20).
⇒ x² + 9x + 20.
MORE INFORMATION.
Conjugate roots.
(1) = If D < 0.
One roots = α + iβ.
Other roots = α - iβ.
(2) = If D > 0.
One roots = α + √β.
Other roots = α - √β.
Similar Questions
Find a quadratic polynomial whose zeroes are and 4
Asked by admin @ in Math viewed by 319 persons
)A quadratic polynomial, whose zeroes are -4 and -5, is *
Find a quadratic polynomial whose zeroes are and
Asked by admin @ in Math viewed by 344 persons
Find a quadratic polynomial whose zeroes are -1 and 2
Find the quadratic polynomial whose zeroes are 1 and
Asked by admin @ in Math viewed by 306 persons
Find the quadratic polynomial whose zeroes are a and 1/a
Find a quadratic polynomial whose zeroes are 1 and
Asked by admin @ in Math viewed by 317 persons
Find quadratic polynomial whose zeros are 0 and 1
Find a quadratic polynomial whose zeros are 1 and
Asked by admin @ in Math viewed by 341 persons
Find quadratic polynomial whose zeros are 0 and 1
Find a quadratic polynomial whose zeroes are and 2
Asked by admin @ in Math viewed by 287 persons
7. Find the quadratic polynomial whose zeroes are -2 and -5.
Verify the relationship between zeroes and co-efficients of thepolynomial.
Find a quadratic polynomial whose zeroes are 3 and
Asked by admin @ in Math viewed by 325 persons
Find a quadratic polynomial whose zeroes are 3 and -7/5
Find the quadratic polynomial whose zeroes are 3 and
Asked by admin @ in Math viewed by 300 persons
Find a quadratic polynomial whose zeroes are 3 and -7/5
Find the quadratic polynomial whose zeros are 1 and
Asked by admin @ in Math viewed by 291 persons
Find the quadratic polynomial whose zeroes are 1 and 3
Find a quadratic polynomial whose zeroes are 2 and
Asked by admin @ in Math viewed by 322 persons
Find a quadratic polynomial whose zeroes are 2 and -5 respectively
Find the quadratic polynomial whose zeroes are 2 and
Asked by admin @ in Math viewed by 317 persons
Find a quadratic polynomial whose zeroes are 2 and -5 respectively
Find a quadratic polynomial whose zeroes are and 3
Asked by admin @ in Math viewed by 396 persons
Find a quadratic polynomial whose zeroes are 3 and -7/5
Find a quadratic polynomial whose zeroes are 3 and 2
Asked by admin @ in Math viewed by 341 persons
Find a quadratic polynomial whose zeroes are 3 and 2
A quadratic polynomial whose zeroes are and 4
Asked by admin @ in Math viewed by 296 persons
)A quadratic polynomial, whose zeroes are -4 and -5, is *
A quadratic polynomial whose zeros are and 4 is
Asked by admin @ in Math viewed by 305 persons
)A quadratic polynomial, whose zeroes are -4 and -5, is *
Most viewed questions in Math
Prachi excellence in mathematics class 7 solutions pdf free download
Asked by admin @ in Math viewed by 12034 persons
Oxford new enjoying mathematics class 7 solutions chapter 1
Asked by admin @ in Math viewed by 11518 persons
Survey of various types of bank accounts icse project
Asked by admin @ in Math viewed by 11506 persons
Rahul went to his mother's mother in law
Asked by admin @ in Math viewed by 4178 persons