Question 14 Marks
Hard plastic square shaped sheets are available in the.
The side length of sheets is as per requirement.
The price of a sheet is z per square meter.
Anuj requires two sheets – a smaller sheet with side length x m and a larger sheet with side length ym. He has two choices:
Choice 1 – buy two separate sheets of side lengths x m and y m
Choice 2 – buy a single sheet with side length (x+ y) m
4. What is the height of each container?
5. What is the difference in price between the two choices?
6. The area of a rectangle is $\left(3 x^2+x-2\right)$ square units. Its width is $(1+x)$ units. What is the length of the rectangle?
7. A polynomial is expressed as $x^3+b x^2+c x+d=0$. The same polynomial can be written in factor form as $x+p x+q x+r=0$.
How is the constant term in the polynomial related to its factors p, q, and r?
A. $d=p+q+r$
B. $d=(p+q) \times r$
C. $d=p \times q \times r$
D. $d=p q+q r+p r$
8. A polynomial is divided by $(x-1)$. The quotient obtained is $3 x^3-x^2-x-4$, and the remainder is -5 . Which polynomial meets these conditions?
A. $3 x^3-x^2-x-9$
B. $3 x^3-x^2-x-4$
C. $3 x^4-4 x^3-3 x+4$
D. $3 x^4-4 x^2-3 x-1$
9. What is the common factor of $x^3-x^2$ and $-22 x^2+142 x-120 ?$
A. x
B. (x – 1)
C. $x^2$
D. 1
10. A polynomial is expressed as: $p (x)=x^3+x^2-x-1$
At what values of $x$ is the polynomial $p (x)=0$ ?
The side length of sheets is as per requirement.
The price of a sheet is z per square meter.
Anuj requires two sheets – a smaller sheet with side length x m and a larger sheet with side length ym. He has two choices:
Choice 1 – buy two separate sheets of side lengths x m and y m
Choice 2 – buy a single sheet with side length (x+ y) m
4. What is the height of each container?
5. What is the difference in price between the two choices?
6. The area of a rectangle is $\left(3 x^2+x-2\right)$ square units. Its width is $(1+x)$ units. What is the length of the rectangle?
7. A polynomial is expressed as $x^3+b x^2+c x+d=0$. The same polynomial can be written in factor form as $x+p x+q x+r=0$.
How is the constant term in the polynomial related to its factors p, q, and r?
A. $d=p+q+r$
B. $d=(p+q) \times r$
C. $d=p \times q \times r$
D. $d=p q+q r+p r$
8. A polynomial is divided by $(x-1)$. The quotient obtained is $3 x^3-x^2-x-4$, and the remainder is -5 . Which polynomial meets these conditions?
A. $3 x^3-x^2-x-9$
B. $3 x^3-x^2-x-4$
C. $3 x^4-4 x^3-3 x+4$
D. $3 x^4-4 x^2-3 x-1$
9. What is the common factor of $x^3-x^2$ and $-22 x^2+142 x-120 ?$
A. x
B. (x – 1)
C. $x^2$
D. 1
10. A polynomial is expressed as: $p (x)=x^3+x^2-x-1$
At what values of $x$ is the polynomial $p (x)=0$ ?
Answer
View full question & answer→4. Mentions Choice 1 OR 1
5. Writes 2 x y z with or without the word ‘units’
● 2 x y z
● 2 x y z units
6. Writes 3x – 2 with or without the word ‘units’
● 3x – 2 units
● 3x – 2
7. C. d = p × q × r
8. D. 3x⁴ – 4x³ – 3x – 1
9. B. (x – 1)
10. Writes 1 and –1
5. Writes 2 x y z with or without the word ‘units’
● 2 x y z
● 2 x y z units
6. Writes 3x – 2 with or without the word ‘units’
● 3x – 2 units
● 3x – 2
7. C. d = p × q × r
8. D. 3x⁴ – 4x³ – 3x – 1
9. B. (x – 1)
10. Writes 1 and –1
