If α, β are the zeros of the polynomial f(x) = x^2 + x + 1, then 1/α + 1/β = Watch Solution
If α, β are the zeros of the polynomial p(x) = 4x^2 + 3x + 7, then 1/α + 1/β is equal to Watch Solution
If one zero of the polynomial f(x) = (k^2 + 4)x^2 + 13x + 4k is reciprocal of the other, then k = Watch Solution
If the sum of the zeros of the polynomial f(x) = 2x^3 – 3kx^2 + 4x – 5 is 6, then the value of k is Watch Solution
If α and β are the zeros of the polynomial f(x) = x^2 + px + q, then a polynomial having 1/α and 1/β is its zero is Watch Solution
If α, β are the zeros of polynomial f(x) = x^2 – p (x + 1) – c, then (α + 1) (β + 1) = Watch Solution
If α, β are the zeros of the polynomial f(x) = x^2 – p(x + 1) – c such that (α +1) (β + 1) = 0, then c = Watch Solution
If f(x) = ax^2 + bx + c has no real zeros and a + b + c less than 0, then Watch Solution
If the diagram in Fig. 2.17 shows the graph of the polynomial f(x) = ax^2 + bx + c, then Watch Solution
Figure 2.18 show the graph of the polynomial f(x) = ax^2 + bx + c for which Watch Solution
If the product of zeros of the polynomial f(x) = ax^3 – 6x^2 + 11x – 6 is 4, then a = Watch Solution
If zeros of the polynomial f(x) = x^3 – 3px^2 + qx – r are in A.P., then Watch Solution
If the product of two zeros of the polynomial f(x) = 2x^3 + 6x^2 – 4x + 9 is 3, then its third zero is Watch Solution
If the polynomial f(x) = ax^3 + bx – c is divisible by the polynomial g(x) = x^2 + bx + c, then ab = Watch Solution
If the polynomial f(x) = ax^3 + bx – c is divisible by the polynomial g(x) = x^2 + bx + c, then ac = Watch Solution
If one root of the polynomial f(x) = 5x^2 + 13x + k is reciprocal of the other, then the value of k is Watch Solution
If α, β, γ are the zeros of the polynomial f(x) = ax^3 + bx^2 + cx + d, then 1/α + 1/β + 1/γ = Watch Solution
If α, β, γ are the zeros of the polynomial f(x) = ax^3 + bx^2 + cx + d, then α^2 + β^2 + γ^2 = Watch Solution
If α, β, γ are are the zeros of the polynomial f(x) = x^3 – px^2 + qx – r, then 1/αβ + 1/βγ + 1/γα = Watch Solution
If α, β are the zeros of the polynomial f(x) = ax^2 + bx + c, then 1/α^2 + 1/β^2 = Watch Solution
If two of the zeros of the cubic polynomial ax^3 + bx^2 + cx + d are each equal to zero, then the third zero is Watch Solution
If two zeros of x^3 + x^2 -5x-5 are √5 and -√5, then its third zero is Watch Solution
The product of the zeros of x^3 +4x^2 + x – 6 is Watch Solution
What should be added to the polynomial x^2 – 5x + 4, so that 3 is the zero of the resulting polynomial? Watch Solution
What should be subtracted to the polynomial x^2 – 16x + 30, so that 15 is the zero of the resulting polynomial? Watch Solution
A quadratic polynomial, the sum of whose zeroes is 0 and one zero is 3, is Watch Solution
If two zeroes of the polynomial x^3 +x^2 – 9x – 9 are 3 and -3, then its third zero is Watch Solution
If √5 and -√5 are two zeroes of the polynomial x^3 + 3x^2 – 5x – 15, then its third zero is Watch Solution
If x+2 is a factor of x^2 + ax + 2b and a + b = 4, then (a) a = 1, b = 3 (b) a = 3, b=1 (c) a =-1, b = 5 (d) a = 5, b = -1 Watch Solution
The polynomial which when divided by -x^2 + x – 1 gives a quotient x -2 and remainder 3, is Watch Solution
The number of polynomials having zeroes -2 and 5 is Watch Solution
If one of the zeroes of the quadratic polynomial (k – 1)x^2 + kx + 1 is -3, then the value of k is Watch Solution
The zeroes of the quadratic polynomial x^2 + 99x + 127 are (a) both positive (c) both equal (b) both negative (d) one positive and one negative Watch Solution
If the zeroes of the quadratic polynomial x^2 + (a + 1)x + b are 2 and -3, then (a) a = -7, b = -1 (b) a = 5, b = -1 (c) a = 2, b = -6 (d) a = 0, b = -6 Watch Solution
Given that one of the zeroes of the cubic polynomial ax^3 + bx^2 + cx + d is zero , the product of the other two zeroes is Watch Solution
The zeroes of the quadratic polynomial x^2 + ax + a, a≠ 0, (a) cannot both be positive (b) cannot both be negative (c) are always unequal (d) are always equal Watch Solution
If one of the zeroes of the cubic polynomial x^3 + ax^2 + bx + c is -1, then the product of other two zeroes is Watch Solution
Given that two of the zeroes of the cubic polynomial ax^3 + bx^2 + cx + d are 0 , the third zero is Watch Solution
If one zero of the quadratic polynomial x^2 + 3x + k is 2, then the value of k is (a) 10 (b) -10 (c) 5 (d) -5 Watch Solution
If the zeros of the quadratic polynomial ax^2 + bx + c, c≠0 are equal, then (a) c and a have opposite signs (b) c and b have opposite signs (c) c and a have the same sign (d) c and b have the same sign Watch Solution
If one of the zeros of a quadratic polynomial of the form x^2 + ax + b is the negative of the other, then it (a) has no linear term and constant term is negative. (b) has no linear term and the constant term is positive. (c) can have a linear term but the constant term is negative. (d) can have a linear term but the constant term is positive. Watch Solution
Which of the following is not the graph of a quadratic polynomial ? Watch Solution
