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 three point.
∴ The no of zeroes of p(x) is three.
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 zeroes of the polynomial `x^2 + x – p(p + 1) `
Find the zeroes of the polynomial `x^2 – 3x – m(m + 3)`
If 3 is a zero of the polynomial `2x^2 + x + k`, find the value of k.
If 1is a zero of the quadratic polynomial `ax^2 – 3(a – 1)x – 1`is 1, then find the value of a.
If -2 is a zero of the polynomial `3x^2 + 4x + 2k` then find the value of k.
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 = ?
Find the value of k such that the polynomial x2-(k +6)x+ 2(2k - 1) has some of its zeros equal to half of their product.
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 the zeroes of the quadratic polynomial x2 + (a + 1) x + b are 2 and –3, then ______.
If the zeroes of the quadratic polynomial ax² + bx + c, c # 0 are equal, then ______.
If x3 + 11 is divided by x2 – 3, then the possible degree of remainder 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 the graph of a polynomial intersects the x-axis at only one point, it cannot be a quadratic polynomial.
If the zeroes of the quadratic polynomial ax2 + bx + c, c ≠ 0 are equal, then ______.
The number of polynomials having zeroes – 3 and 4 is ______.
The zeroes of the quadratic polynomial 16x2 – 9 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 ______.
The given linear polynomial y = f(x) has
