Hard plastic square shaped sheets are available in the. The side … - Vidyadip

Question

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 $y\ m$. 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

$4.$ 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
● $3x – 2$
$7. C. d = p × q × r$
$8. D. 3x^4 – 4x^3 – 3x – 1$
$9. B. (x – 1)$
$10.$ Writes $1$ and $–1$

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