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Find the remainder when x3 + 3x2 + 3x + 1 is divided by(i) x + 1 (ii) x –12(iii) x (iv) x + π (v)5..

Find the value of the polynomial 5x – 4x2+ 3 at (i) x = 0 (ii) x = –1 (iii) x = 2

Learn Chapter 2 Polynomials in One Video 🔥🔥 (NCERT Class 9)

Classify the following as linear, quadratic and cubic polynomials:(i) x2 + x (ii) x – x3 ...

Write the degree of each of the following polynomials:(i) 5x3 + 4x2 + 7x (ii) 4 – y2(iii) 5t – 7...

Give one example each of a binomial of degree 35, and of a monomial of degree 100...

Write the coefficients of x2 in each of the following:(i) 2 + x2 + x (ii) 2 – x2 + ...

Which of the following expressions are polynomials in one variable and which are not? State reasons.

Classify the following numbers as rational or irrational:.(a) √23.(b)√225.(c)0.3796.(d)7.478478....

Find: (i) 64 (1/2) (ii) 32 (1/5) (iv) 125 (1/3)

Find: (i) 9 ^(3/2) (ii) 32 ^(2/5) (iii) 16 ^(3/4)

Rationalise the denominators of the following: 1/root 7(ii)1/[root(7)-root(6)]

Simplify each of the following expressions:(i) (3 3 2 2 + + ) ( ) (ii) (3 3 3 3 + − ) ( )...

Represent root 9.3 on the number line.

Classify the following numbers as rational or irrational:(i) 2 5 − (ii) (3 23 23 + −) (iii)2 77 7..

Visualise 4.26 . on the number line, up to 4 decimal places.

Visualise 3.765 on the number line, using successive magnification.

Write three numbers whose decimal expansions are non-terminating non-recurring.

What can the maximum number of digits be in the repeating block of digits in the decimal expansion..

Express 0.99999 .... in the form p/q. Are you surprised by your answer? With your teacher and...

Express the following in the form p/q, where p and q are integers and q ≠ 0.(i) 0 6. (ii) 0 47...

You know that 1/7 = 0142857 . . Can you predict what the decimal expansions of 2/7 , 3/7 , 4/7 , 5..

Write the following in decimal form and say what kind of decimal expansion eachhas :(i)36100...

Classroom activity (Constructing the ‘square rootspiral’) :Take a large sheet of paper and construct