# Class 9 Polynomials Important Questions

Important Questions NCERT Solutions MCQ Quiz – 1 MCQ Quiz – 2**Class 9 Polynomials Important Questions**

**Using suitable identity determine the value of :-****(17)**^{3}+ (-12)^{3}+ (-5)^{3}**64m**^{3}– 343n^{3}

**Factorise :-****2y**^{3 }– 4y^{2}– 2y + 4**2x**^{2}+ 7x + 3

**Factorise : (a-b)**^{3}+ (b-c)^{3}+ (c-a)^{3}**If (a + b + c) = 15 and a**^{2}+ b^{2}+ c^{2}= 83, find the value of a^{3}+ b^{3}+ c^{3}– 3abc.**If x**^{3}+ ax^{2}– bx + 10 is divisible by x^{2}– 3x + 2, find the values of a and b.**Verify that x**^{3}+ y^{3}+ z^{3}– 3xyz = ½ (x + y + z)[(x – y)^{2}+ (y – z)^{2}+ (z – x)^{2}]**Find the value of k for which the cubic polynomial is exactly divisible by y – ½.****Prove that (a + b + c)**–^{3}**a**^{3}–**b**^{3 }–**c**^{3}**= 3(a + b)(b + c)(c + a)****If x – 3 and x – 1/3 are both factors of p****x**^{2}**+ 5x + r, then show that p = r.****If****x**– 1 is a factor of^{2}**ax**^{4}**+ b****x**^{3}+ c**x**^{2}**+ dx + e, show that a + c + e = b + d = 0.****If a + b + c = 0, find (****a**^{2}/bc +**b**^{2}/ca +**c**^{2}/ab) .

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