Chapter 2 – Polynomials
9. Prove that (a +b +c)^3 -a^3 -b^3 – c^3 =3(a +b)(b +c)(c +a).
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Jun
9. Prove that (a +b +c)^3 -a^3 -b^3 – c^3 =3(a +b)(b +c)(c +a). 9. Prove that (a +b +c)^3 -a^3 -b^3 – c^3 =3(a +b)(b +c)(c +a). June 28, 2021 Category: Chapter 2 - Polynomials , Maths , NCERT Class 9 ,
8. If a + b + c = 5 and ab + bc + ca = 10, then prove that a^3 + b^3 + c^3 – 3abc = -25.
28
Jun
8. If a + b + c = 5 and ab + bc + ca = 10, then prove that a^3 + b^3 + c^3 – 3abc = -25. 8. If a + b + c = 5 and ab + bc + ca = 10 then prove that a^3 + b^3 + c^3 – [...]
7. If a, b, c are all non zero and a + b+ c = 0 , prove that a^2/bc + b^2/ ca +c^2/ ab = 3.
28
Jun
7. If a, b, c are all non zero and a + b+ c = 0 , prove that a^2/bc + b^2/ ca +c^2/ ab = 3. 7. If a B c are all non zero and a + b+ c = 0 prove that a^2/bc + b^2/ ca +c^2/ ab = 3. June 28, [...]
6. Multiply x^2 + 4y^2 + z^2 + 2xy + xz – 2yz by (-z + x-2y).
28
Jun
6. Multiply x^2 + 4y^2 + z^2 + 2xy + xz – 2yz by (-z + x-2y). 6. Multiply x^2 + 4y^2 + z^2 + 2xy + xz – 2yz by (-z + x-2y). June 28, 2021 Category: Chapter 2 - Polynomials , Maths , NCERT Class 9 ,
5. Simplify (2x- 5y)^3 – (2x+ 5y)^3.
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Jun
5. Simplify (2x- 5y)^3 – (2x+ 5y)^3. 5. Simplify (2x- 5y)^3 – (2x+ 5y)^3. June 28, 2021 Category: Chapter 2 - Polynomials , Maths , NCERT Class 9 ,
4. Without actual division, prove that 2x^4 – 5x^3 + 2x^2 – x + 2 is divisible by x^2 – 3x + 2.
28
Jun
4. Without actual division, prove that 2x^4 – 5x^3 + 2x^2 – x + 2 is divisible by x^2 – 3x + 2. 4. Without actual division prove that 2x^4 – 5x^3 + 2x^2 – x + 2 is divisible by x^2 – 3x + 2. June 28, 2021 Category: Chapter 2 - Polynomials , [...]
3. If both x – 2 and x -(1/2) are factors of px^2+ 5x+r, then show that p = r.
28
Jun
3. If both x – 2 and x -(1/2) are factors of px^2+ 5x+r, then show that p = r. 3. If both x – 2 and x -(1/2) are factors of px^2+ 5x+r then show that p = r. June 28, 2021 Category: Chapter 2 - Polynomials , Maths , NCERT Class 9 ,
2. The polynomial p{x) = x^4 – 2x^3 + 3x^2 – ax + 3a – 7 when divided by x + 1 leaves the remainder 19. Find the values of a. Also, find the remainder when p(x) is divided by x + 2.
28
Jun
2. The polynomial p{x) = x^4 – 2x^3 + 3x^2 – ax + 3a – 7 when divided by x + 1 leaves the remainder 19. Find the values of a. Also, find the remainder when p(x) is divided by x + 2. 2. The polynomial p{x) = x^4 – 2x^3 + 3x^2 – ax [...]
1. If the polynomials az^3 + 4z^2 + 3z – 4 and z^3 – 4z + o leave the same remainder when divided by z – 3, find the value of a.
28
Jun
1. If the polynomials az^3 + 4z^2 + 3z – 4 and z^3 – 4z + o leave the same remainder when divided by z – 3, find the value of a. 1. If the polynomials az^3 + 4z^2 + 3z – 4 and z^3 – 4z + o leave the same remainder when divided [...]
40. Give possible expression for the length and breadth of the rectangle whose area is given by 4a^2 + 4a – 3.
28
Jun
40. Give possible expression for the length and breadth of the rectangle whose area is given by 4a^2 + 4a – 3. 40. Give possible expression for the length and breadth of the rectangle whose area is given by 4a^2 + 4a – 3. June 28, 2021 Category: Chapter 2 - Polynomials , Maths , [...]