Advertisements
Advertisements
प्रश्न
The graphs of y = p(x) are given in following figure, for some polynomials p(x). Find the number of zeroes of p(x).
Advertisements
उत्तर
The graph intersects x-axis at four point.
∴ The no of zeroes of p(x) is four.
APPEARS IN
संबंधित प्रश्न
The graphs of y = p(x) are given in following figure, for some polynomials p(x). Find the number of zeroes of p(x).
Find the quotient and the remainder when f(x) = x3 – 3x2 + 5x – 3 is divided by g(x) = x2 – 2.
Find all the zeroes of polynomial (2x4 – 11x3 + 7x2 + 13x – 7), it being given that two of its zeroes are `(3 + sqrt(2))` and `(3 - sqrt(2))`.
Find the zeros of the polynomial x2 + x – p(p + 1).
Find α, β are the zeros of polynomial α + β = 6 and αβ = 4 then write the polynomial.
If 3 is a zero of the polynomial 2x2 + x + k, find the value of k.
If –4 is a zero of the polynomial x2 – x – (2k + 2) is –4, then find the value of k.
If 1 is a zero of the quadratic polynomial ax2 – 3(a – 1)x – 1 is 1, then find the value of a.
If –2 is a zero of the polynomial 3x2 + 4x + 2k, then find the value of k.
If the sum of the zeros of the quadratic polynomial kx2 – 3x + 5 is 1, write the value of k.
If 𝛼 and 𝛽 be the zeroes of the polynomial `2x^2 - 7x + k` write the value of (𝛼 + 𝛽 + 𝛼𝛽).
Find the zeroes of the quadratic polynomial `f(x) = 4sqrt(3)x^2 + 5x - 2sqrt(3)`.
If α and β are the zeros of the polynomial f(x) = 6x2 + x – 2, find the value of `(α/β + α/β)`.
If the zeroes of the quadratic polynomial x2 + (a + 1) x + b are 2 and –3, then ______.
A quadratic polynomial, whose zeores are -4 and -5, is ______.
If one of the zeroes of the cubic polynomial x3 + px² + qx + r is -1, then the product of the other two zeroes is ______.
If f(x) = 5x - 10 is divided by x – `sqrt2`, then the remainder will be ______.
The number of polynomials having zeroes as -2 and 5 is ______.
If the graph of a polynomial intersects the x-axis at exactly two points, it need not be a quadratic polynomial.
The zeroes of the polynomial 3x2 + 11x – 4 are ______.
