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), in the following.

Advertisements
उत्तर
The graph does not intersects at x-axis.
∴ The no of zeroes of p(x) is 0.
APPEARS IN
संबंधित प्रश्न
Find the zeroes of the polynomial `f(x) = x^2 ˗ 2x ˗ 8` and verify the relation between its zeroes and coefficients
Find the zeroes of the quadratic polynomial `f(x) = x^2 + 3x ˗ 10` and verify the relation between its zeroes and coefficients.
Find the zeroes of the quadratic polynomial `f(x) = 5x^2 ˗ 4 ˗ 8x` and verify the relationship between the zeroes and coefficients of the given polynomial.
Find ∝ , β are the zeros of polynomial ∝ +β= 6 and ∝β 4 then write the polynomial.
If 1is a zero of the quadratic polynomial `ax^2 – 3(a – 1)x – 1`is 1, then find the value of a.
If 𝛼, 𝛽 are the zeroes of the polynomial `f(x) = x^2 – 5x + k` such that 𝛼 - 𝛽 = 1, find the value of k = ?
If one zero of the quadratic polynomial x2 + 3x + k is 2, then the value of k is ______.
The number of polynomials having zeroes as -2 and 5 is ______.
Given that one of the zeroes of the cubic polynomial ax3 + bx2 + cx + d is zero, the product of the other two zeroes is ______.
If one of the zeroes of the cubic polynomial x3 + ax2 + bx + c is -1, then the product of the
other two zeroes is ______.
10. The zeroes of the quadratic polynomial x² + kx + k, k? 0.
If x3 + 1 is divided by x2 + 5, then the possible degree of quotient is ______.
If x3 + 11 is divided by x2 – 3, then the possible degree of remainder is ______.
If p(x) is a polynomial of at least degree one and p(k) = 0, then k is known as ______.
Consider the following statements.
- x – 2 is a factor of x3 – 3x² + 4x – 4.
- x + 1 is a factor of 2x3 + 4x + 6.
- x – 1 is a factor of x5 + x4 – x3 + x² -x + 1.
In these statements
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 ______.
The number of polynomials having zeroes – 3 and 4 is ______.
The zeroes of the quadratic polynomial 16x2 – 9 are ______.
