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Mathematics Class IX Exam Prep

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1

Mathematics Class IX Exam Prep

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Sample questions with model answers

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1 marks Short answer

Which one of the following is a polynomial?

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$\frac{x^2}{2} - \frac{2}{x^2}$

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1 marks Short answer

Degree of the polynomial $f(x) = 4x^4 + 0x^3 + 0x^5 + 5x + 7$ is

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5

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1 marks Short answer

Degree of the zero polynomial is

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not defined

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1 marks Short answer

$\sqrt{2}$ is a polynomial of degree

1 marks Short answer

Zero of the zero polynomial is

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not defined

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1 marks Short answer

If $f(x) = x+3$, then $f(x) + f(-x)$ is equal to

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6

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1 marks Short answer

Zero of the polynomial $f(x) = 3x+7$ is

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$\frac{-7}{3}$

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1 marks Short answer

One of the zeros of the polynomial $f(x) = 2x^2 + 7x - 4$ is

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$\frac{-1}{2}$

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1 marks Short answer

$x+1$ is a factor of the polynomial

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$x^4 + x^3 + x + 1$

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1 marks Short answer

If $x-3$ is a factor of $x^2 - ax - 15$, then a =

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5

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1 marks Short answer

The value of k for which $x-1$ is a factor of $4x^3 + 3x^2 - 4x + k$ is

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1

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1 marks Short answer

If $x^2 - 1$ is a factor of $ax^4 + bx^3 + cx^2 + dx + e$, then

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$a+c+e = b+d$

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1 marks Short answer

If $a+b+c=9$ and $ab+bc+ca=23$, then $a^2+b^2+c^2=$

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58

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1 marks Short answer

If $x + \frac{1}{x} = 5$, then $x^2 + \frac{1}{x^2}$

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23

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1 marks Short answer

If $x + \frac{1}{x} = 2$, then $x^2 + \frac{1}{x^2}$

1 marks Short answer

$(a-b)^3 + (b-c)^3 + (c-a)^3$ is equal to

1 marks Short answer

If $a-b = -8$ and $ab = -12$, then $a^3-b^3$ is

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-24

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1 marks Short answer

If the volume of a cube is $125x^3$, then its side is

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$5x$

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1 marks Short answer

$75 \times 75 + 2 \times 75 \times 25 + 25 \times 25$ is equal to

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10000

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1 marks Short answer

$(x-y)(x+y)(x^2+y^2)(x^4+y^4)$ is equal to

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$x^{16} - y^{16}$

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1 marks Short answer

If $a+b+c=0$, then $a^3+b^3+c^3$ is equal to

1 marks Short answer

If $a^{1/3} + b^{1/3} + c^{1/3} = 0$, then

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$a+b+c=0$

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1 marks Short answer

If $a+b+c=9$ and $a^2+b^2+c^2=35$, then $ab+bc+ca$ is

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23

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1 marks Short answer

The product of $(x-y)$, $(x+y)$, $(x^2-xy+y^2)$ and $(x^2+xy+y^2)$ is

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$x^6 - y^6$

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1 marks Short answer

The factors of $8x^3 + 27y^3$ are

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$(2x+3y)(4x^2-6xy+9y^2)$

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