D.A.V. School of Delhi decided different types of tours for the
students to educate them. So, in class VIII, 1/12th times the
square of the total number of students planned to visit historical
monuments. 7/12th times the number of students planned to visit
old age homes while 15 students decided to teach poor children.
1.Write the coefficient of x in polynomial
(a) 9 /13 (b)7/12 (c)11/ 12 (d)13/ 12
2. Write the coefficient of x2 in polynomial
(a) 1/13 (b) 1/10 (c)1/12 (d) 15
3. Value of p(x) at x = 2
(a) 33/2 (b)11/2 (c) 22/3 (d) 14/3
Answers
Answer:
1. 7/12
2. 1/12
3. 22/3
Step-by-step explanation:
Given,
1/12th times the square of the total number of students planned to visit historical monuments
7/12th times the number of students planned to visit old age homes
15 students decided to teach poor children
To Find,
The coefficient of x in polynomial =?
The coefficient of x² in polynomial =?
The Value of p(x) at x = 2 =?
Solution,
Let the total number of students be x
The number of students planned to visit historical monuments = 1/12th times the square of the total number of students
The number of students who planned to visit historical monuments = 1/12 of x²
The number of students who planned to visit historical monuments = x²/12
The number of students who planned to visit old age homes = 7/12 of x
The number of students who planned to visit old age homes = 7x/12
The number of students who decided to teach poor children = 15
The total students = x²/12 + 7x/12 + 15
Therefore, the polynomial is x²/12 + 7x/12 + 15
The coefficient of x in polynomial = 7/12.
The coefficient of x² in polynomial = 1/12
The value of p(x) at x = 2:
p(2) = 2²/12 + 7*2/12 + 15
p(2) = 4 / 12 + 7 / 6 + 15
p(2) = 1 / 3 + 7 / 6 + 15
p(2) = (2 + 7 + 90) / 6
p(2) = 99 / 6
p(2) = 33 / 2
Hence, the coefficient of x in a polynomial is 7 / 12. Option(b) is the correct answer. The coefficient of x2 in the polynomial is 1/12. Option(c) is the correct answer. The value of p(x) at x = 2 is 33 / 2. Option(a) is the correct answer.