extra questions on polynomials class 9
Answers
If x + y = 12 and xy = 32, Find the value of x2 + y2.
2. If 3x + 2y = 12 and xy = 6, find the value of 9x2 + 4y2.
3. Write the following cubes in the expanded form:
(i) (3a + 4b)3
(ii) (5p – 3q)3
4. If find the values of each of the following:
(i)
(ii)
5. If then evaluate
6. If a + b + c = 15 and a2 + b2 + c2 = 83, find the value of a3 + b3 + c3 – 3abc.
7. Factorize:
(i) 6ab – b2 + 12ac – 2bc
(ii) 9(2a – b)2 – 4(2a – b) – 13
8. If x3 + ax2 – bx + 10 is divisible by x2 – 3x + 2, find the values of a and b.
9. Using factor theorem, factorize each of the following polynomials:
(i) x3 – 6x2 + 3x + 10
(ii) 2y3 – 5y2 – 19y + 42
10. Which one is not a polynomial
(a) 4x2 + 2x – 1
(b)
(c) x3 – 1
(d) y2 + 5y + 1
11. The number of zeros of x2 + 4x + 2
(a) 1
(b) 2
(c) 3
(d) none of these
12. The value of k, if (x – 1) is a factor of 4x3 + 3x2 – 4x + k, is
(a) 1
(b) 2
(c) -3
(d) 3