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

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

The sum of the polynomials p(x) = x³ – x² – 2, q(x) = x²–3x+ 1 _______.

The product of the polynomials p(x) = 4x –3 q(x) = 4x + 3 ____________

The Auto fare is found as minimum Rs. 25 for 3 kilometer and thereafter Rs. 12 for per kilometer. Which of the following equations represents the relationship between the total cost ‘c’ in rupees and the number of kilometers n?

Which of the following is trinomial?

The roots of the polynominal equation \({ x }^{ 2 }+2x=0\) are_______________

The coefficient of -5x is ___________

7x - 5y + 3 has __________ terms

The degree of polynomial 5x²y + 3x³y² + 3xy +7 is ____________

Which of the following expressions are polynomials. If not give reason: \(\frac { 1 }{ { x }^{ 2 } } +3x-4\)

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 \({ \pi x }^{ 2 }-x+2\)

Find the roots of the following polynomial equations: 5x – 3 = 0

Check whether p(x) is a multiple of g(x) or not 
p(x) = 2x³-11x²-4x+3 ; g(x) = 2x + 3

Factorise the following : 25m^-2-16n²

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)

Find the degree of the following polynomials 3x⁴+ 9x² + 27x⁶

Write the Variable, Coefficient and Constant in the given algebraic expression

Identify monomials, binomials and trinomial from the following expression.
(i) -8 abc
(ii) 3a²bc+8-9a²
(iii) -9
(iv) a²+b²+c²-k²
(v) a+b
(vi) 7ab³
(vii) -z+\(\sqrt{3}\)z³

Show that (x-3) is a factor of x³ + 9x² - x - 105

Find the product (4x – 5), (2x² + 3x – 6).

The length of a rectangle is (3x+2) units and it’s breadth is (3x–2) units. Find its area in terms of x. What will be the area if x = 20 units.