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The document contains a series of short math questions related to polynomials for Class IX students. It includes problems on finding values based on given equations, expanding cubes, factorization, and divisibility of polynomials. Each question requires application of algebraic concepts to solve.

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Sourya Panda
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17 views1 page

Short

The document contains a series of short math questions related to polynomials for Class IX students. It includes problems on finding values based on given equations, expanding cubes, factorization, and divisibility of polynomials. Each question requires application of algebraic concepts to solve.

Uploaded by

Sourya Panda
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as PDF, TXT or read online on Scribd
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CLASS IX MATH POLYNOMIALS

Short Question
1. 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 a + b + c = 15 and a2 + b2 + c2 = 83, find the value of a3 + b3 + c3 – 3abc.


5. Factorize:
(i) 6ab – b2 + 12ac – 2bc
(ii) 9(2a – b)2 – 4(2a – b) – 13

6. If x3 + ax2 – bx + 10 is divisible by x2 – 3x + 2, find the values of a and b.

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