Advertisements
Advertisements
प्रश्न
Find the zeroes of the quadratic polynomial `f(x) = 4sqrt3x^2 + 5x – 2sqrt3`.
Advertisements
उत्तर
To find the zeroes of the quadratic polynomial we will equate f(x) to 0
∴f(x) = 0
`⇒ 4sqrt3x^2 + 5x – 2sqrt3 = 0`
`⇒ 4sqrt3x2 + 8x – 3x – 2sqrt3 = 0`
`⇒ 4x (sqrt3x + 2) – sqrt3(sqrt3x + 2) = 0`
`⇒ (sqrt3x + 2) = 0 or (4x – sqrt3) = 0`
`⇒x=-2/sqrt3 or x=sqrt3/4`
Hence, the zeroes of the quadratic polynomial` f(x)=4sqrt3x^2+5x-2sqrt3 are-2/sqrt3or sqrt3/4`
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).
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 quadratic polynomial `f(x) = 5x^2 ˗ 4 ˗ 8x` and verify the relationship between the zeroes and coefficients of the given polynomial.
Write the zeros of the polynomial `f(x) = x^2 – x – 6`.
Find the zeroes of the quadratic polynomial `f(x) = 6x^2 – 3.`
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.
The number of polynomials having zeroes as -2 and 5 is ______.
A quadratic polynomial, whose zeores are -4 and -5, is ______.
If x3 + 11 is divided by x2 – 3, then the possible degree of remainder is ______.
If x4 + 3x2 + 7 is divided by 3x + 5, then the possible degrees of quotient and remainder are ______.
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 p(x) is a polynomial of at least degree one and p(k) = 0, then k is known as ______.
If one of the zeroes of the quadratic polynomial (k -1)x² + kx + 1 the value of k is ______.
If the graph of a polynomial intersects the x-axis at only one point, it cannot be a quadratic polynomial.
Which of the following is not the graph of a quadratic polynomial?
The number of quadratic polynomials having zeroes –5 and –3 is ______.
The zeroes of the quadratic polynomial 16x2 – 9 are ______.
The given linear polynomial y = f(x) has
