Advertisements
Advertisements
प्रश्न
One zero of the polynomial `3x^3+16x^2 +15x-18 is 2/3` . Find the other zeros of the polynomial.
Advertisements
उत्तर
Given: `x =2/3` is one of the zero of` 3x^3 + 16x^2 + 15x – 18`
Now, we have
`x=2/3`
`⇒ x-2/3=0`
Now, we divide `3x^3 + 16x^2 + 15x – 18 by x –2/3` to find the quotient
So, the quotient is `3x^2+18x+27`
Now,
`3x^2 + 18x + 27 = 0`
⇒ `3x^2 + 9x + 9x + 27 = 0`
⇒ `3x(x + 3) + 9(x + 3) = 0`
⇒ (x + 3) (3x + 9) = 0
⇒ (x + 3) = 0 or (3x + 9) = 0
⇒ x = –3 or x = –3
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), in the following.

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 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 one zero of the quadratic polynomial `kx^2 + 3x + k is 2`, then find the value of k.
If -4 is a zero of the polynomial `x^2 – x – (2k + 2) is –4`, then find the value of k.
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.
If one zero of the quadratic polynomial x2 + 3x + k is 2, then the value of k is ______.
If one of the zeroes of the quadratic polynomial (k – 1) x2 + kx + 1 is - 3, then the value of k 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 ______.
If x3 + 11 is divided by x2 – 3, then the possible degree of remainder is ______.
A polynomial of degree n has ______.
If f(x) = 5x - 10 is divided by x – `sqrt2`, then the remainder will be ______.
The zeroes of the quadratic polynomial x2 + kx + k, k ≠ 0 ______.
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 ______.
