Value of a Polynomial

Q.

The condition for equation ax² + bx + c = 0 to be linear is

1. a > 0, b =0

2. a = 0, b ≠ 0

3. a < 0, b = 0

4. a ≠ 0, b = 0

Q.

Find the value of polynomial $x^4-x^3+x^2-x+1$ when $x=-1$

Q. The value of linear polynomial $\frac{2x}{3}+4$ at $x=6$ is .

1. 6
2. 4
3. 8
4. 5

Q.

Find p(0), p(1) and p(2) for each of the following polynomials:
$1\left)p\right(y)=y^2-y+1$
$2\left)p\right(t)=2+t+2t^2-t^3$ [4 MARKS]

Q. The value of linear polynomial $\frac{2x}{3}+4$ at $x=6$ is .

1. 6
2. 4
3. 8
4. 5

Q. Question 4 (i)
Find the value(s) of p for the pair of equations 3x – y – 5 = 0 and 6x – 2y – p = 0, if the lines represented by these equations are parallel.

Q.

Assertion: All the points (1, 0), (-1, 0), (2, 0) and (5, 0) lie on the x – axis.

Reason: Equation of the x – axis is y = 0
Now, choose the correct option.

1. Both Assertion and Reason are correct and Reason is the correct explanation of Assertion.

2. Both Assertion and Reason are correct, but Reason is not the correct explanation of Assertion.

3. Assertion is correct but Reason is incorrect.

4. Assertion is incorrect but Reason is correct.

Q. For the given values of y, which values of x satisfy the linear equation y=x/3?

1. x=	12,	20,	28
   y=	3,	5,	7

2. x=	6,	3,	9
   y=	2,	1,	3

3. x=	30,	12,	6
   y=	5,	2,	1

4. x=	6,	2,	4
   y=	12,	4,	8

Q. $\text{Find the polynomial}p\left(x\right)=ax+b\text{such that}p\left(1\right)=2\&p\left(2\right)=5.$

1. $3x-1$
2. $-3x+5$
3. $-2x+3$
4. $2x+3$

Q.

The value of the polynomial: $x^2-3x+5$ at x=0 is

1. -5

2. 23

3. 5

4. 13

Q.

Which of the following is not a linear polynomial?

1. 3x-4

2. ax

3. (ax²+bx)/4x

4. (x+(1/x))

Q. For what value of $y$ the equation $y=5x+2$ cuts the y-axis.

1. 2
2. 1
3. 5
4. 0

Q. Question 4 (i)
Find the value(s) of p for the pair of equations 3x – y – 5 = 0 and 6x – 2y – p = 0, if the lines represented by these equations are parallel.

Q.

Classify the following as true or false.

$x^3-\frac{1}{x^3}-3x-\frac{3}{x}$is a polynomial

1. True
2. False

Q. For the polynomial equation
$5y=2-x^3$.
The value of $y$ for $x=3$ is

1. -5
2. 5
3. -14
4. 14

Q. Find the degree of :
a) $x^3-3x^3{y}^6+8y^3$
b) $6x^4-9x^3{y}^2-6y^6$

Q.

Find a point on 2x + 3y = 10 which is at a distance of 2 units to the right of the Y axis

Q. Label the parts of the given polynomial
$10+4x^3+9x.$

1. Coefficient of x
2. Degree
3. Constant term

Q. The value of the polynomial ‘3x’
at x = 1 is 1.

1. True
2. False

Q. For the polynomial equation
$5y=2-x^3$.
The value of $y$ for $x=3$ is

1. -5
2. 5
3. -14
4. 14

Q. The linear equation $3x+4y=12$ meets coordinate axes at $(x,0)$ and $(0,y)$ then $x+y=$

Q. p(x) = x-x²-2 then p(1) =

1. -2
2. 0
3. 1
4. -1

Q. What is the value of the polynomial $\frac{5x+6}{2}$ for $x=6$ ?

1. 18
2. 16
3. 12
4. 14

Q. For the given values of y, which values of x satisfy the linear equation y=x/3?

1. x=	6,	2,	4
   y=	12,	4,	8

2. x=	30,	12,	6
   y=	5,	2,	1

3. x=	12,	20,	28
   y=	3,	5,	7

4. x=	6,	3,	9
   y=	2,	1,	3

Q. If the value of polynomial $a{x}^2+5x$ at $x=2$ is 14 then a = ?

1. 4
2. 1
3. 0
4. 2

Q. If x is the zero of a polynomial, then p(x) =

1. x
2. 1
3. 2
4. 0

Q.

If $p\left(x\right)=x^2-3\sqrt{3}x+1$, then the value of $p\left(3\sqrt{3}\right)$ is 0.

1. True

2. False

Q.

Find the value of polynomial $x^4-x^3+x^2-x+1$ when $x=1$