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 the following quadratic equations by factorization:
(2x + 3)(3x − 7) = 0
Solve the following quadratic equations by factorization:
x2 - x - a(a + 1) = 0
If an integer is added to its square, the sum is 90. Find the integer with the help of quadratic equation.
The product of two successive integral multiples of 5 is 300. Determine the multiples.
The difference of two numbers is 4. If the difference of their reciprocals is 4/21. Find the numbers.
Two natural number differ by 3 and their product is 504. Find the numbers.
Find the values of k for which the roots are real and equal in each of the following equation:
\[4 x^2 + px + 3 = 0\]
If \[\left( a^2 + b^2 \right) x^2 + 2\left( ab + bd \right)x + c^2 + d^2 = 0\] has no real roots, then
Solve the following equation: a2x2 - 3abx + 2b2 = 0
A two digit number is such that the product of the digit is 12. When 36 is added to the number, the digits interchange their places. Find the numbers.
There is a square field whose side is 44m. A square flower bed is prepared in its centre leaving a gravel path all round the flower bed. The total cost of laying the flower bed and graving the path at Rs 2. 75 and Rs. 1.5 per square metre, respectively, is Rs 4,904. Find the width of the gravel path.
Solve the following quadratic equation by factorization method : `"x"^2 - 5"x" - 36 = 0`
Solve the following quadratic equation by factorisation:
(x - 4) (x + 2) = 0
Solve the following equation by factorization
4x2 = 3x
Solve the following equation by factorization
3x2= x + 4
If the product of two positive consecutive even integers is 288, find the integers.
Divide 16 into two parts such that the twice the square of the larger part exceeds the square of the smaller part by 164.
At present Asha’s age (in years) is 2 more than the square of her daughter Nisha’s age. When Nisha grows to her mother’s present age, Asha’s age would be one year less than 10 times the present age of Nisha. Find the present ages of both Asha and Nisha.
If `x + 1/x = 2.5`, the value of x is ______.
If x4 – 5x2 + 4 = 0; the values of x are ______.
