Polynomial Expressions

Q.

The degree of a non-zero constant polynomial is

1. 1

2. 2

3. not defined

4. 0

Q.

The degree of a constant polynomial is ___ .

1. 1

2. 0

3. Any natural number.

4. Not defined.

Q.

Factorise:

2x^2 -x +(1/8)

Q. The zero of the polynomial p(x)=4x+3 lies at what value of x?

1. $-\frac{3}{4}$
2. $\frac{3}{4}$
   
3. 1
   
4. $-\frac{4}{3}$

Q.

For a polynomial p(x), p(-1) and p(2) are both equal to zero .So, we can conclude that,

1. 

2. 

3. 

4. 

Q.

Explain polynomial in one variable x of degree n

Q. Evaluate the following products without multiplying directly:
(i) $103\times 107$
(ii) $95\times 96$
(iii) $104\times 96$

Q.

Factorise the quadratic polynomial by splitting the middle term:

x² + 14x + 45

1. (x + 9) (x + 5)

2. (x - 9) (x - 5)

3. (x + 9) (x - 5)

4. (x - 9) (x + 5)

Q. Determine the degree of the the polynomial.
$(3x-2)(2x^3+3x^2)$

Q.

If 2x - y + z = 0, then 4x² - y² + z² + 4xz is equal to

1. Zero

2. Y

3. 4

4. Y²

Q.

Factorise the quadratic polynomial by splitting the middle term: y ² - 4 y –21

1. (y + 7) (y - 3)

2. (y - 7) (y - 3)

3. (y + 7) (y + 3)

4. (y - 7) (y + 3)

Q.

The value of $52xyz(xy+yz+xz+y^2)(z+x)\times 104xy(xy+xz+yz+y^2)$ is:

1. $5408x{y}^{2}z(z+x)(xy+yz+xz+y^2{)}^2$

2. $540x^2{y}^{2}z(z+x)(xy+yz+xz+y^2{)}^2$

3. $5408x^2{y}^{2}z(z+x)(xy+yz+xz+y^2{)}^2$

4. $5408x^{2}yz(z+x)(xy+yz+xz+y^2{)}^2$

Q.

Simplify $(xy+yz{)}^2-2x^2{y}^{2}z$ and find the value when $x=-1,y=1$ and $z=2.$

1. 4

2. -3

3. 3

4. 0

Q.

Which of the following expressions are polynomials?
(i) $x^2+4+y^3$
(ii) $4-x^{-1}+z^3$
(iii) $2x^2-\frac{2}{x}$

1. $x^2+4+y^3$ , $4-x^{-1}+z^3$ and $2x^2-\frac{2}{x}$

2. $x^2+4+y^3$

3. $2x^2-\frac{2}{x}$

4. $4-x^{-1}+z^3$ and $2x^2-\frac{2}{x}$

Q.

Is x+x√x a polynomial

Q.

Factorisation of polynomials ?????

Q.

Which of the following is a binomial in y?

1. 

2. 

3. 

4. 

Q. If the coefficient of variation of data pertaining to goals scored by two teams A and B in a football season are 2.5 and 7.2 respectively, then which of the following statements i strue?

1. Team B is more consistent than team A.
2. Two teams are equally consistent.
3. Team A is more consistent than team B.
4. The s.ds. of team A and team B are $\frac{1}{25},\frac{1}{72}.$

Q. Which of the following are NOT polynomials?

Q.

Write the coefficient of $y$ in $-2x^2{y}^2$

Q. If x=$\sqrt{2}-1$, then write the value of $\frac{1}{x}.$

Q. Identify constant, linear, quadratic and cubic polynomials from the following polynomials:

(i) f(x) = 0

(ii) g(x) = 2x³ − 7x + 4

(iii) h(x) = -$3x+\frac{1}{2}$

(iv) p(x) = 2x² − x + 4

(v) q(x) = 4x + 3

(vi) r(x) = 3x³ + 4x² + 5x − 7

Q.

Factorise the given polynomial:

$3{\mathrm{x}}^3\mathrm{y}-243{\mathrm{xy}}^3$

Q. Question 19
If $\frac{x}{y}+\frac{y}{x}=-1$ (where $x,y\ne 0$ ), then the value $x^3-y^3$ is

A) 1
B) -1
C) 0
D) $\frac{1}{2}$

Q. Question 7
$x=\frac{4}{5}(x+10)$

Q. 2y³ + y² − 2y − 1

Q.

Simplify: ${(xy+yz)}^2$ - ${(xy-yz)}^2$

1. 4xy²

2. 4xy²z

3. 4xz

4. -4xy²z

Q.

What is the meaning of polynomial?

Q.

abc + bca + cab is _________.

1. a monomial

2. a binomial

3. a trinomial
4. a polynomial

Q. $abc+bca+cab$ is a.

1. Monomial
2. Trinomial
3. Binomial