Advertisements
Advertisements
Question
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
Solution
The graph does not intersects at x-axis.
∴ The no of zeroes of p(x) is 0.
APPEARS IN
RELATED QUESTIONS
Find the zeroes of the quadratic polynomial `f(x) = x^2 + 3x ˗ 10` and verify the relation between its zeroes and coefficients.
One zero of the polynomial `3x^3+16x^2 +15x-18 is 2/3` . Find the other zeros of the polynomial.
If one zero of the quadratic polynomial `kx^2 + 3x + k is 2`, then find the value of k.
Write the zeros of the polynomial `f(x) = x^2 – x – 6`.
Find the zeroes of the quadratic polynomial `f(x) = 6x^2 – 3.`
If ∝ and β are the zeros of the polynomial f(x) = `6x^2 + x - 2 `find the value of `(∝/β+∝/β) `
If the zeroes of the polynomial `f(x) = x^3 – 3x^2 + x + 1` are (a – b), a and (a + b), find the values of a and b.
Find the value of k such that the polynomial x2 − (k + 6)x + 2(2k −1) has sum of its zeros equal to half of their product.
If one of the zeroes of the quadratic polynomial (k – 1) x2 + kx + 1 is - 3, then the value of k is ______.
If the zeroes of the quadratic polynomial ax² + bx + c, c # 0 are equal, then ______.
A quadratic polynomial, whose zeores are -4 and -5, is ______.
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 4x² – 6x – m is divisible by x – 3, the value of m is exact divisor of ______.
The number of polynomials having zeroes as -2 and 5 is ______.
The zeroes of the quadratic polynomial x2 + kx + k, k ≠ 0 ______.
If α and β are the zeroes of the polynomial x2 – 1, then the value of (α + β) is ______.
The zeroes of the polynomial 3x2 + 11x – 4 are ______.
The graph of y = f(x) is shown in the figure for some polynomial f(x). The number of zeroes of f(x) are ______.
