POLYNOMIALS
POLYNOMIALS

90001 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: The graph y = f(x) is shown in figure, for the polynomial f(x). The number of zero of f(x) is 4. Reason: The number of zero of the polynomial f(x) - is the number of point of which f(x) cuts of touches the axes.

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 true.
POLYNOMIALS

90002 On dividing a polynomial p(x) by a non-zero polynomial q(x), let g(x) be the quotient and r(x) be the remainder, than p(x) = q(x).g(x) + r(x), where

1 r(x) = 0 always.
2 deg r(x) < deg g(x) always.
3 either r(x) = 0 or deg r(x) < deg g(x).
4 r(x) = g(x).
POLYNOMIALS

90003 The polynomial which when divided by -x\(^{1}\) + x - 1 gives a quotient x - 2 and remainder 3, is:

1 -x\(^{1}\) + 3x\(^{1}\) - 3x + 5
2 x\(^{1}\) - 3x\(^{1}\) - 3x + 5
3 x\(^{1}\) - 3x\(^{1}\)- 3x - 5
4 x\(^{1}\) - 3x\(^{1}\) + 3x - 5
POLYNOMIALS

90004 If \(\alpha,\beta\) are the zeros of the polynomial f(x) = x\(^{1}\) - p(x + 1) - c such that \((\alpha+1)(\beta+1)=0,\) then c =

1 1
2 0
3 -1
4 2
POLYNOMIALS

90001 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: The graph y = f(x) is shown in figure, for the polynomial f(x). The number of zero of f(x) is 4. Reason: The number of zero of the polynomial f(x) - is the number of point of which f(x) cuts of touches the axes.

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 true.
POLYNOMIALS

90002 On dividing a polynomial p(x) by a non-zero polynomial q(x), let g(x) be the quotient and r(x) be the remainder, than p(x) = q(x).g(x) + r(x), where

1 r(x) = 0 always.
2 deg r(x) < deg g(x) always.
3 either r(x) = 0 or deg r(x) < deg g(x).
4 r(x) = g(x).
POLYNOMIALS

90003 The polynomial which when divided by -x\(^{1}\) + x - 1 gives a quotient x - 2 and remainder 3, is:

1 -x\(^{1}\) + 3x\(^{1}\) - 3x + 5
2 x\(^{1}\) - 3x\(^{1}\) - 3x + 5
3 x\(^{1}\) - 3x\(^{1}\)- 3x - 5
4 x\(^{1}\) - 3x\(^{1}\) + 3x - 5
POLYNOMIALS

90004 If \(\alpha,\beta\) are the zeros of the polynomial f(x) = x\(^{1}\) - p(x + 1) - c such that \((\alpha+1)(\beta+1)=0,\) then c =

1 1
2 0
3 -1
4 2
POLYNOMIALS

90001 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: The graph y = f(x) is shown in figure, for the polynomial f(x). The number of zero of f(x) is 4. Reason: The number of zero of the polynomial f(x) - is the number of point of which f(x) cuts of touches the axes.

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 true.
POLYNOMIALS

90002 On dividing a polynomial p(x) by a non-zero polynomial q(x), let g(x) be the quotient and r(x) be the remainder, than p(x) = q(x).g(x) + r(x), where

1 r(x) = 0 always.
2 deg r(x) < deg g(x) always.
3 either r(x) = 0 or deg r(x) < deg g(x).
4 r(x) = g(x).
POLYNOMIALS

90003 The polynomial which when divided by -x\(^{1}\) + x - 1 gives a quotient x - 2 and remainder 3, is:

1 -x\(^{1}\) + 3x\(^{1}\) - 3x + 5
2 x\(^{1}\) - 3x\(^{1}\) - 3x + 5
3 x\(^{1}\) - 3x\(^{1}\)- 3x - 5
4 x\(^{1}\) - 3x\(^{1}\) + 3x - 5
POLYNOMIALS

90004 If \(\alpha,\beta\) are the zeros of the polynomial f(x) = x\(^{1}\) - p(x + 1) - c such that \((\alpha+1)(\beta+1)=0,\) then c =

1 1
2 0
3 -1
4 2
POLYNOMIALS

90001 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: The graph y = f(x) is shown in figure, for the polynomial f(x). The number of zero of f(x) is 4. Reason: The number of zero of the polynomial f(x) - is the number of point of which f(x) cuts of touches the axes.

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 true.
POLYNOMIALS

90002 On dividing a polynomial p(x) by a non-zero polynomial q(x), let g(x) be the quotient and r(x) be the remainder, than p(x) = q(x).g(x) + r(x), where

1 r(x) = 0 always.
2 deg r(x) < deg g(x) always.
3 either r(x) = 0 or deg r(x) < deg g(x).
4 r(x) = g(x).
POLYNOMIALS

90003 The polynomial which when divided by -x\(^{1}\) + x - 1 gives a quotient x - 2 and remainder 3, is:

1 -x\(^{1}\) + 3x\(^{1}\) - 3x + 5
2 x\(^{1}\) - 3x\(^{1}\) - 3x + 5
3 x\(^{1}\) - 3x\(^{1}\)- 3x - 5
4 x\(^{1}\) - 3x\(^{1}\) + 3x - 5
POLYNOMIALS

90004 If \(\alpha,\beta\) are the zeros of the polynomial f(x) = x\(^{1}\) - p(x + 1) - c such that \((\alpha+1)(\beta+1)=0,\) then c =

1 1
2 0
3 -1
4 2