If x³ + 6x² + kx + 6 is exactly divisible by (x + 2), then k= ?

(a)

-6

(b)

-7

(c)

-8

(d)

11

The root of the polynomial equation 2x + 3 = 0 is ________.

(a)

\(\frac{1}{3}\)

(b)

\(-\frac{1}{3}\)

(c)

\(-\frac{3}{2}\)

(d)

\(-\frac{2}{3}\)

The type of the polynomial 4–3x³ is  ________.

(a)

constant polynomial

(b)

linear polynomial

(c)

quadratic polynomial

(d)

cubic polynomial.

x³ – x² is a …………..

(a)

monomial

(b)

binomial

(c)

trinomial

(d)

constant polynomial

If x⁵¹ + 51 is divided by x + 1, then the remainder is _______.

(a)

0

(b)

1

(c)

49

(d)

50

Degree of the polynomial (y³–2)(y³ + 1) is _______.

(a)

9

(b)

2

(c)

3

(d)

6

Let the polynomials be
(A) –13q⁵ + 4q² + 12q
(B) (x² +4 )(x² + 9)
(C) 4q⁸ – q⁶ + 2
(D) -\(\frac {5}{7}\)y¹²+y³+y⁵
Then ascending order of their degree is _______.

(a)

A,B,D,C

(b)

A,B,C,D

(c)

B,C,D,A

(d)

B,A,C,D

Which of the following is a monomial?

(a)

\({ 4x }^{ 2 }\)

(b)

\(a+b\)

(c)

\(a+b+c\)

(d)

\(a+b+c+d\)

Which of the following is trinomial?

(a)

-7z

(b)

\({ z }^{ 2 }-{ 4y }^{ 2 }\)

(c)

\({ x }^{ 2 }y-{ xy }^{ 2 }+y\)

(d)

\(12a=9ab+5b-3\)

The area of a rectangle with length \(2l^{ 2 }m\) and breadth \(3l^{ 2 }m\) is_______________________

(a)

\(6l^{ 3 }m^{ 3 }\)

(b)

\(l^{ 3 }m^{ 3 }\)

(c)

\(2l^{ 3 }m\)

(d)

\(4l^{ 3 }m^{ 3 }\)

Which of the following expressions are polynomials. If not give reason: \({ m }^{ 2 }-\sqrt [ 3 ]{ m } +7m-10\)

Write the coefficient of x² and x in each of the following polynomials \({ 4+\frac { 2 }{ 5 } x^{ 2 }-3x }\)

Write the coefficient of x² and x in each of the following polynomials \(6-{ 2x }^{ 2 }+3x^{ 3 }-\sqrt { 7 } x\)

Write the coefficient of x² and x in each of the following polynomials \({ \pi x }^{ 2 }-x+2\)

Check whether –3 and 3 are zeros of the polynomial x² – 9

Find the value of the polynomial f (y) =  6y - 3y² + 3 at y = 1

Find the degree of each term for the following polynomial and also find the degree of the polynomial
6ab⁸+5a²b³c²-7ab+4b²c+2 

If p(x) = 4x²-3x+2x³+5 and q(x) = x²+2x+4 find p(x)+q(x)

If p(x) = 4x²-3x+2x³+5 and q(x) = x²+2x+4. find p(x) - q(x)

Rewrite the following polynomial in standard form.
\(7{ x }^{ 3 }-\frac { 6 }{ 5 } { x }^{ 2 }+4x-1\)

Rewrite the following polynomial in standard form.
\({ y }^{ 2 }+\sqrt { 5 } { y }^{ 3 }-11-\frac { 7 }{ 3 } y+{ 9y }^{ 4 }\)

Add the following polynomials and find the degree of the resultant polynomial.
p(x) = 6x²-7x+2 q(x) = 6x³-7x+15

The area of a rectangle is x² + 7x + 12. If its breadth is (x + 3), then find its length.

The base of a parallelogram is (5x+4). Find its height, if the area is 25x²–16.