Test: Polynomials- Case Based Type Questions
10 Questions MCQ Test Mathematics (Maths) Class 9 | Test: Polynomials- Case Based Type Questions
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Beti Bachao, Beti Padhao (BBBP) is a personal campaign of the Government of India that aims to generate awareness and improve the efficiency of welfare services intended for girls.
In a school, a group of (x + y) teachers, (x2 + y2) girls and (x3 + y3) boys organised a campaign on Beti Bachao, Beti Padhao.
Q. If in the group, there are 10 teachers and 58 girls, then what is the number of boys?
No. of teachers = x + y = 10
⇒ (x + y)2 = (10)2
⇒ x2 + y2 + 2xy = 100
[Since (a + b)2 = a2 + b2 + 2ab]
No. of students = (x2 + y2) = 58
⇒ 58 + 2xy = 100
⇒ 2xy = 100 – 58
⇒ 2xy = 42
⇒ xy = 42/2
⇒ xy = 21
Now, since (x + y)3 = [x3 + y3 + 3xy(x + y)]
⇒ (10)3 = [x3 + y3 + 3 × 21(10)]
⇒ 1000 = (x3 + y3 + 630)
⇒ 1000 – 630 = (x3 + y3)
⇒ (x3 + y3) = 370
Beti Bachao, Beti Padhao (BBBP) is a personal campaign of the Government of India that aims to generate awareness and improve the efficiency of welfare services intended for girls.
In a school, a group of (x + y) teachers, (x2 + y2) girls and (x3 + y3) boys organised a campaign on Beti Bachao, Beti Padhao.
Q. Which is the correct identity?
Beti Bachao, Beti Padhao (BBBP) is a personal campaign of the Government of India that aims to generate awareness and improve the efficiency of welfare services intended for girls.
In a school, a group of (x + y) teachers, (x2 + y2) girls and (x3 + y3) boys organised a campaign on Beti Bachao, Beti Padhao.
Q. Which mathematical concept is used here?
In mathematics, a polynomial is an expression consisting of indeterminates (also called variables) and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponentiation of variables.
Beti Bachao, Beti Padhao (BBBP) is a personal campaign of the Government of India that aims to generate awareness and improve the efficiency of welfare services intended for girls.
In a school, a group of (x + y) teachers, (x2 + y2) girls and (x3 + y3) boys organised a campaign on Beti Bachao, Beti Padhao.
Q. (x – y)3 =
(x - y)(x - y)(x - y)
We know that (x - y)(x - y) can be multiplied and written as
x2 - xy - yx + y2 (x - y)
= x2 - 2xy + y2 (x - y)
= x3 - 2x2y + xy2 - yx2 + 2xy2 - y3
= x3 – y3 – 3xy(x – y)
Beti Bachao, Beti Padhao (BBBP) is a personal campaign of the Government of India that aims to generate awareness and improve the efficiency of welfare services intended for girls.
In a school, a group of (x + y) teachers, (x2 + y2) girls and (x3 + y3) boys organised a campaign on Beti Bachao, Beti Padhao.
Q. Using part (D), find (x2 – y2) if x – y = 23.
Also, x + y = 10
x2 – y2 = (x + y)(x – y)
= 10 × 23
= 230
National Association For The Blind (NAB) aimed to empower and well-inform visually challenged population of our country, thus enabling them to lead a life of dignity and productivity.
Ravi donated 
to NAB. When his cousin asks to tell the amount donated by him, he just gave the below hint.
Q. Find the amount donated by Ravi.
National Association For The Blind (NAB) aimed to empower and well-inform visually challenged population of our country, thus enabling them to lead a life of dignity and productivity.
Ravi donated 
to NAB. When his cousin asks to tell the amount donated by him, he just gave the below hint.
Q. (x – y)3 =
(x - y)(x - y)(x - y)
We know that (x - y)(x - y) can be multiplied and written as
x2 - xy - yx + y2 (x - y)
= x2 - 2xy + y2 (x - y)
= x3 - 2x2y + xy2 - yx2 + 2xy2 - y3
= x3 – y3 – 3xy(x – y)
National Association For The Blind (NAB) aimed to empower and well-inform visually challenged population of our country, thus enabling them to lead a life of dignity and productivity.
Ravi donated 
to NAB. When his cousin asks to tell the amount donated by him, he just gave the below hint.
Q. (x + a)(x + b) = x2 + ................ x + ab
National Association For The Blind (NAB) aimed to empower and well-inform visually challenged population of our country, thus enabling them to lead a life of dignity and productivity.
Ravi donated 
to NAB. When his cousin asks to tell the amount donated by him, he just gave the below hint.
Q. Which mathematical concept is involved in the above situation?
In mathematics, a polynomial is an expression consisting of indeterminates (also called variables) and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponentiation of variables.
National Association For The Blind (NAB) aimed to empower and well-inform visually challenged population of our country, thus enabling them to lead a life of dignity and productivity.
Ravi donated 
to NAB. When his cousin asks to tell the amount donated by him, he just gave the below hint.
Q. Find the amount donated by Ravi if 
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