Mathematics
Given, 9š„2 - 4 is a factor of 9š„3 - mš„2 - nš„ + 8 :
(a) find the value of m and n using the remainder and factor theorem.
(b) factorise the given polynomial completely.
Related Questions
Determine whether the following quadratic equation has real roots.
5š„2 ā 9š„ + 4 = 0
(a) Give reasons for your answer.
(b) If the equation has real roots, identify them.
The profit in rupees in a local restaurant and the number of customers who visited the restaurant are tabulated below for each week for one month.
Week number Week 1 Week 2 Week 3 Week 4 Number of customers 1400 5600 x 3212 Profit in ā¹ 28000 112000 32140 y Find :
(a) if the number of customers and profit per week in continued proportion or not? Justify your answer.
(b) the value of x and y.
The marks scored by 100 students are given below:
Marks scored No. of students 0-10 4 10-20 5 20-30 9 30-40 7 40-50 13 50-60 12 60-70 15 70-80 11 80-90 14 90-100 10 A student in the class is selected at random. Find the probability that the student has scored:
(a) less than 20
(b) below 60 but 30 or more
(c) more than or equal to 70
(d) above 89.