Advertisements
Advertisements
प्रश्न
Find the factors of the Polynomial 3x2 - 2x - 1.
उत्तर
3x2 - 2x - 1
= (3x2−3x) + x −1
= 3x (x −1) +1(x − 1)
= (x −1)(3x + 1)
APPEARS IN
संबंधित प्रश्न
Solve for x: `(x-3)/(x-4)+(x-5)/(x-6)=10/3; x!=4,6`
Solve (i) x2 + 3x – 18 = 0
(ii) (x – 4) (5x + 2) = 0
(iii) 2x2 + ax – a2 = 0; where ‘a’ is a real number
Solve the following quadratic equations by factorization:
`(x-a)/(x-b)+(x-b)/(x-a)=a/b+b/a`
Solve the following quadratic equations by factorization:
`a/(x-a)+b/(x-b)=(2c)/(x-c)`
Solve the following quadratic equations by factorization:
a(x2 + 1) - x(a2 + 1) = 0
Solve the following quadratic equations by factorization:
`1/(x-1)-1/(x+5)=6/7` , x ≠ 1, -5
A two digits number is such that the product of the digits is 12. When 36 is added to the number, the digits inter change their places determine the number.
If two pipes function simultaneously, a reservoir will be filled in 12 hours. One pipe fills the reservoir 10 hours faster than the other. How many hours will the second pipe take to fill the reservoir?
The sum of the squares of two consecutive positive integers is 365. Find the integers.
Solve the following quadratic equation by factorisation.
2y2 + 27y + 13 = 0
Find the value of k for which the following equations have real and equal roots:
\[x^2 + k\left( 2x + k - 1 \right) + 2 = 0\]
If −5 is a root of the quadratic equation\[2 x^2 + px - 15 = 0\] and the quadratic equation \[p( x^2 + x) + k = 0\] has equal roots, find the value of k.
If \[1 + \sqrt{2}\] is a root of a quadratic equation will rational coefficients, write its other root.
If the equation x2 + 4x + k = 0 has real and distinct roots, then
If the equation x2 − ax + 1 = 0 has two distinct roots, then
Solve the following quadratic equation by factorisation:
9x2 - 3x - 2 = 0
Solve the following equation by factorization
`(1)/(x - 3) - (1)/(x + 5) = (1)/(6)`
2x articles cost Rs. (5x + 54) and (x + 2) similar articles cost Rs. (10x – 4), find x.
Find a natural number whose square diminished by 84 is equal to thrice of 8 more than the given number.
If x = –2 is the common solution of quadratic equations ax2 + x – 3a = 0 and x2 + bx + b = 0, then find the value of a2b.