Mathematics Class IX Exam Prep
Full explanation, worked examples & memory tricks in the app
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Full explanation, worked examples & memory tricks in the app
Every question in the paper gets a full exam-length answer in the app — organised by marks, the way a topper writes it.
Which one of the following is a polynomial?
$\frac{x^2}{2} - \frac{2}{x^2}$
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Degree of the polynomial $f(x) = 4x^4 + 0x^3 + 0x^5 + 5x + 7$ is
5
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Degree of the zero polynomial is
not defined
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$\sqrt{2}$ is a polynomial of degree
Zero of the zero polynomial is
not defined
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If $f(x) = x+3$, then $f(x) + f(-x)$ is equal to
6
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Zero of the polynomial $f(x) = 3x+7$ is
$\frac{-7}{3}$
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One of the zeros of the polynomial $f(x) = 2x^2 + 7x - 4$ is
$\frac{-1}{2}$
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$x+1$ is a factor of the polynomial
$x^4 + x^3 + x + 1$
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If $x-3$ is a factor of $x^2 - ax - 15$, then a =
5
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The value of k for which $x-1$ is a factor of $4x^3 + 3x^2 - 4x + k$ is
1
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If $x^2 - 1$ is a factor of $ax^4 + bx^3 + cx^2 + dx + e$, then
$a+c+e = b+d$
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If $a+b+c=9$ and $ab+bc+ca=23$, then $a^2+b^2+c^2=$
58
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If $x + \frac{1}{x} = 5$, then $x^2 + \frac{1}{x^2}$
23
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If $x + \frac{1}{x} = 2$, then $x^2 + \frac{1}{x^2}$
$(a-b)^3 + (b-c)^3 + (c-a)^3$ is equal to
If $a-b = -8$ and $ab = -12$, then $a^3-b^3$ is
-24
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If the volume of a cube is $125x^3$, then its side is
$5x$
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$75 \times 75 + 2 \times 75 \times 25 + 25 \times 25$ is equal to
10000
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$(x-y)(x+y)(x^2+y^2)(x^4+y^4)$ is equal to
$x^{16} - y^{16}$
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If $a+b+c=0$, then $a^3+b^3+c^3$ is equal to
If $a^{1/3} + b^{1/3} + c^{1/3} = 0$, then
$a+b+c=0$
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If $a+b+c=9$ and $a^2+b^2+c^2=35$, then $ab+bc+ca$ is
23
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The product of $(x-y)$, $(x+y)$, $(x^2-xy+y^2)$ and $(x^2+xy+y^2)$ is
$x^6 - y^6$
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The factors of $8x^3 + 27y^3$ are
$(2x+3y)(4x^2-6xy+9y^2)$
The full exam-length answer is in the app.
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