POLYNOMIALS
POLYNOMIALS

89994 The maximum number of zeroes that a polynomial of degree 3 can have is:

1 One
2 Three
3 Zero
4 Two
POLYNOMIALS

89996 If \(\alpha,\ \beta,\ \gamma\) be the zeros of the polynomial p(x) such that \((\alpha+\beta+\gamma)=3,\ (\alpha\beta+\beta\gamma+\gamma\alpha)=-10\) and \(\alpha\beta\gamma=-24\) then p(x) = ?

1 x\(^{1}\) + 3x\(^{1}\) - 10x + 24
2 x\(^{1}\) + 3x\(^{1}\) + 10x - 24
3 x\(^{1}\) - 3x\(^{1}\) - 10x + 24
4 None of these.
POLYNOMIALS

89997 If zeros of the polynomial f(x) = x\(^{1}\) - 3px\(^{1}\) + qx - r are in A.P., then:

1 2p\(^{1}\) = pq - r
2 2p\(^{1}\) = pq + r
3 p\(^{1}\) = pq - r
4 None of these.
POLYNOMIALS

89999 If \(\alpha\) and \(\beta\) are the zeroes of the polynomial 2x\(^{1}\) + 5x + 1, then the value of \(\alpha+\beta+\alpha\beta\) is:

1 -2
2 1
3 -1
4 3
POLYNOMIALS

90000 Directions: In the following questions, the Assertions (A) and Reason(s) (R) have been put forward. Read both the statements carefully and choose the correct alternative from the following: Assertion: x\(^{1}\)+x has only one real zero. Reason: A polynomial of nth degree must have n real zeroes.true.

1 Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).
2 Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A).
3 Assertion (A) is true but reason (R) is false.
4 Assertion (A) is false but reason (R) is
POLYNOMIALS

89994 The maximum number of zeroes that a polynomial of degree 3 can have is:

1 One
2 Three
3 Zero
4 Two
POLYNOMIALS

89996 If \(\alpha,\ \beta,\ \gamma\) be the zeros of the polynomial p(x) such that \((\alpha+\beta+\gamma)=3,\ (\alpha\beta+\beta\gamma+\gamma\alpha)=-10\) and \(\alpha\beta\gamma=-24\) then p(x) = ?

1 x\(^{1}\) + 3x\(^{1}\) - 10x + 24
2 x\(^{1}\) + 3x\(^{1}\) + 10x - 24
3 x\(^{1}\) - 3x\(^{1}\) - 10x + 24
4 None of these.
POLYNOMIALS

89997 If zeros of the polynomial f(x) = x\(^{1}\) - 3px\(^{1}\) + qx - r are in A.P., then:

1 2p\(^{1}\) = pq - r
2 2p\(^{1}\) = pq + r
3 p\(^{1}\) = pq - r
4 None of these.
POLYNOMIALS

89999 If \(\alpha\) and \(\beta\) are the zeroes of the polynomial 2x\(^{1}\) + 5x + 1, then the value of \(\alpha+\beta+\alpha\beta\) is:

1 -2
2 1
3 -1
4 3
POLYNOMIALS

90000 Directions: In the following questions, the Assertions (A) and Reason(s) (R) have been put forward. Read both the statements carefully and choose the correct alternative from the following: Assertion: x\(^{1}\)+x has only one real zero. Reason: A polynomial of nth degree must have n real zeroes.true.

1 Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).
2 Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A).
3 Assertion (A) is true but reason (R) is false.
4 Assertion (A) is false but reason (R) is
POLYNOMIALS

89994 The maximum number of zeroes that a polynomial of degree 3 can have is:

1 One
2 Three
3 Zero
4 Two
POLYNOMIALS

89996 If \(\alpha,\ \beta,\ \gamma\) be the zeros of the polynomial p(x) such that \((\alpha+\beta+\gamma)=3,\ (\alpha\beta+\beta\gamma+\gamma\alpha)=-10\) and \(\alpha\beta\gamma=-24\) then p(x) = ?

1 x\(^{1}\) + 3x\(^{1}\) - 10x + 24
2 x\(^{1}\) + 3x\(^{1}\) + 10x - 24
3 x\(^{1}\) - 3x\(^{1}\) - 10x + 24
4 None of these.
POLYNOMIALS

89997 If zeros of the polynomial f(x) = x\(^{1}\) - 3px\(^{1}\) + qx - r are in A.P., then:

1 2p\(^{1}\) = pq - r
2 2p\(^{1}\) = pq + r
3 p\(^{1}\) = pq - r
4 None of these.
POLYNOMIALS

89999 If \(\alpha\) and \(\beta\) are the zeroes of the polynomial 2x\(^{1}\) + 5x + 1, then the value of \(\alpha+\beta+\alpha\beta\) is:

1 -2
2 1
3 -1
4 3
POLYNOMIALS

90000 Directions: In the following questions, the Assertions (A) and Reason(s) (R) have been put forward. Read both the statements carefully and choose the correct alternative from the following: Assertion: x\(^{1}\)+x has only one real zero. Reason: A polynomial of nth degree must have n real zeroes.true.

1 Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).
2 Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A).
3 Assertion (A) is true but reason (R) is false.
4 Assertion (A) is false but reason (R) is
POLYNOMIALS

89994 The maximum number of zeroes that a polynomial of degree 3 can have is:

1 One
2 Three
3 Zero
4 Two
POLYNOMIALS

89996 If \(\alpha,\ \beta,\ \gamma\) be the zeros of the polynomial p(x) such that \((\alpha+\beta+\gamma)=3,\ (\alpha\beta+\beta\gamma+\gamma\alpha)=-10\) and \(\alpha\beta\gamma=-24\) then p(x) = ?

1 x\(^{1}\) + 3x\(^{1}\) - 10x + 24
2 x\(^{1}\) + 3x\(^{1}\) + 10x - 24
3 x\(^{1}\) - 3x\(^{1}\) - 10x + 24
4 None of these.
POLYNOMIALS

89997 If zeros of the polynomial f(x) = x\(^{1}\) - 3px\(^{1}\) + qx - r are in A.P., then:

1 2p\(^{1}\) = pq - r
2 2p\(^{1}\) = pq + r
3 p\(^{1}\) = pq - r
4 None of these.
POLYNOMIALS

89999 If \(\alpha\) and \(\beta\) are the zeroes of the polynomial 2x\(^{1}\) + 5x + 1, then the value of \(\alpha+\beta+\alpha\beta\) is:

1 -2
2 1
3 -1
4 3
POLYNOMIALS

90000 Directions: In the following questions, the Assertions (A) and Reason(s) (R) have been put forward. Read both the statements carefully and choose the correct alternative from the following: Assertion: x\(^{1}\)+x has only one real zero. Reason: A polynomial of nth degree must have n real zeroes.true.

1 Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).
2 Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A).
3 Assertion (A) is true but reason (R) is false.
4 Assertion (A) is false but reason (R) is
POLYNOMIALS

89994 The maximum number of zeroes that a polynomial of degree 3 can have is:

1 One
2 Three
3 Zero
4 Two
POLYNOMIALS

89996 If \(\alpha,\ \beta,\ \gamma\) be the zeros of the polynomial p(x) such that \((\alpha+\beta+\gamma)=3,\ (\alpha\beta+\beta\gamma+\gamma\alpha)=-10\) and \(\alpha\beta\gamma=-24\) then p(x) = ?

1 x\(^{1}\) + 3x\(^{1}\) - 10x + 24
2 x\(^{1}\) + 3x\(^{1}\) + 10x - 24
3 x\(^{1}\) - 3x\(^{1}\) - 10x + 24
4 None of these.
POLYNOMIALS

89997 If zeros of the polynomial f(x) = x\(^{1}\) - 3px\(^{1}\) + qx - r are in A.P., then:

1 2p\(^{1}\) = pq - r
2 2p\(^{1}\) = pq + r
3 p\(^{1}\) = pq - r
4 None of these.
POLYNOMIALS

89999 If \(\alpha\) and \(\beta\) are the zeroes of the polynomial 2x\(^{1}\) + 5x + 1, then the value of \(\alpha+\beta+\alpha\beta\) is:

1 -2
2 1
3 -1
4 3
POLYNOMIALS

90000 Directions: In the following questions, the Assertions (A) and Reason(s) (R) have been put forward. Read both the statements carefully and choose the correct alternative from the following: Assertion: x\(^{1}\)+x has only one real zero. Reason: A polynomial of nth degree must have n real zeroes.true.

1 Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).
2 Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A).
3 Assertion (A) is true but reason (R) is false.
4 Assertion (A) is false but reason (R) is