Question
Factor the polynomial: x³ - 6x² + 11x -
6.Solution
Using synthetic division to find roots, we test possible rational roots. Testing x = 1: 1³ - 6(1)² + 11(1) - 6 = 0. Thus, (x - 1) is a factor. Dividing x³ - 6x² + 11x - 6 by (x - 1): The result is x² - 5x + 6 = (x - 2)(x - 3). So, the complete factorization is (x - 1)(x - 2)(x - 3). Correct Answer: a) (x - 1)(x - 2)(x - 3).
Income of A is twice the income of B. B and A spend 55% and 65% respectively of their incomes. Find the savings of A, if B saves Rs. 18000 in a month.
A and B together can finish a task in 12 days. B and C together can complete the same task in 20 days. A and C together complete 33(1/3) ​ % of the ta...
The sides of a triangle are 9 cm, 12 cm, and 15 cm. What is the area of the largest circle that can be inscribed in this triangle?Â
A businessman bought goods for Rs 1050 and sold them on the same day for Rs 1228.5 on credit for 10 months, thus earning a profit of 4%. Find the rate o...
What is the primary purpose of an operating system in a computer system?
13, 91, 108, 756, ?, 5411
The function f(x)=x3 −62x2+ax+9 has a local maximum at x=1. Then the value of a is:
The curved surface area of a right circular cylinder with a radius of 7 cm is 440 cm². If the height of the cylinder is increase...
Let a plane pass through the point (1, –1, 2) and is perpendicular to the vector 2i + j − 2k. Then its Cartesian equation is:
'Symbian' is a_______
