Advertisements
Advertisements
प्रश्न
Find the zeroes of the quadratic polynomial `f(x) = 6x^2 – 3.`
Advertisements
उत्तर
To find the zeroes of the quadratic polynomial we will equate f(x) to 0
`∴f(x) = 0`
`⇒ 6x^2 – 3 = 0`
`⇒ 3(2x^2 – 1) = 0`
`⇒ 2x^2 – 1 = 0`
`⇒2x^2 = 1 `
`⇒x^2=1/2`
`⇒ x=+-1/sqrt2`
Hence, the zeroes of the quadratic polynomial f(x) = `6x^2-3 are 1/sqrt2,-1/sqrt2`
APPEARS IN
संबंधित प्रश्न
Find the zeros of the polynomial `f(x) = x^2 + 7x + 12` and verify the relation between its zeroes and coefficients.
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.
If one zero of the polynomial `x^2-4x+1 is (2+sqrt3)` , write the other zero.
Find the zeroes of the quadratic polynomial `f(x) = 4sqrt3x^2 + 5x – 2sqrt3`.
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 one of the zeroes of the cubic polynomial x3 + ax2 + bx + c is -1, then the product of the
other two zeroes is ______.
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 ______.
If one of the zeroes of the quadratic polynomial (k -1)x² + kx + 1 the value of k is ______.
A polynomial of degree n has ______.
If f(x) = 5x - 10 is divided by x – `sqrt2`, then the remainder will be ______.
If 4x² – 6x – m is divisible by x – 3, the value of m is exact divisor of ______.
If the graph of a polynomial intersects the x-axis at only one point, it cannot be a quadratic polynomial.
The number of polynomials having zeroes – 3 and 4 is ______.
The graph of y = f(x) is shown in the figure for some polynomial f(x).
The number of zeroes of f(x) is ______.
The zeroes of the quadratic polynomial 16x2 – 9 are ______.
