Question

1. Write the degree of the following polynomials.
(i) x (ii) x4-2x+3 (iii) 2


2. Write the coefficients of x2 in the following polynomials.
(i) 3 – x2 +x3 (ii) 2 - (iii) √3 x -5

3. Find the value of the polynomial P(x) = 5x2 – 3x + 7 at x = 1

4. Find a zero of the polynomial P(x) = 3x – 5

5. Find the remainder when x4 + x3 – 2x2 + x + 1 is divided by x-1. (Without performing division)

6. Examine whether x + 2 is a factor of x3 + 3x2 + 5x + 6

7. Find the value of k , if x – 1 is a factor of 4x3 + 3x2 – 4x + k.

8. Factorise: (i) y2 -5y + 6
(ii) 3x2 –x -4
(iii) x3 – 23x2 +142x – 120

9. Facorise : (i) 9x2 +6xy + y2
(ii) x2 – 9y2

10. Evaluate the following using suitable identities.

(i) 9992
(ii) 1042
(iii) 102 x 103


​

Answer 1

your question is lengthy please increase the point