Question

1. Factorize: x - 3x²+x+3
2. If 2x - 3 = x + 2 then find the value of x.
3. Fill: Factorization is the reverse process of
4. Fill: An equation involving only polynomials is called a linear equation.
5. Write any two identities used in factorization.
Short Answer Type Questions:
(4x2=8)
6. Factorize: 16a - 24a +9
7. Solve: *x+1}
8. Factorize: Sm? - 45n?
9. Two numbers are in the ratio 35. If their sum is 288. Find the larger number.
(3x4=12)
5
8
Long Answer Type Questions:
10. Solve: +6+
11. (a) Evaluate: (305)2 - (95)?
(b) Factorize: x + 5x -
12. The denominator of a rational number is greater than its numerator by 3. If 5 is
subtracted from the numerator and 2 is added to its denominator ,the new
number becomes 1/6. Find the original number.​

Answer 1

Step-by-step explanation:

$2)2x - 3 = x + 2$

$2x - x = 2 + 3$

$x = 5$