Using factor theorem, show that g(x) is a factor of p(x), when p(x)=7x^2-4 2x-6, g(x)=x- 2

Using factor theorem, show that g(x) is a factor of p(x), when p(…

Factorise : $49 a^2+70 a b+25 b^2$

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Find four rational numbers lying between $\frac{3}{7}$ and $\frac{5}{7}.$

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Find the value of $x$ in the following:
$\frac{3^{3\text{x}}\times3^{2\text{x}}}{3^\text{x}}=\sqrt[4]{3^{20}}$

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$100$ plants each were planted in $100$ schools during Van Mahotsava. After one month, the number of plants that survived were recorded as : $95, 67, 28, 32, 65, 65, 69, 33, 98, 96, 76, 42, 32, 38, 42, 40, 40, 69, 95, 92, 75, 83, 76, 83, 85, 62, 37, 65, 63, 42, 89, 65, 73, 81, 49, 52, 64, 76, 83, 92, 93, 68, 52, 79, 81, 83, 59, 82, 75, 82, 86, 90, 44, 62, 31, 36, 38, 42, 39, 83, 87, 56, 58, 23, 35, 76, 83, 85, 30, 68, 69, 83, 86, 43, 45, 39, 83, 75, 66, 83, 92, 75, 89, 66, 91, 27, 88, 89, 93, 42, 53, 69, 90, 55, 66, 49, 52, 83, 34, 36$
Create a frequency distribution table with tally number.

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Evaluate: $(32)^{\frac{1}{5}}+(-7)^0+(64)^{\frac{1}{2}}$.

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Express the following in the form $\frac{\text{p}}{\text{q}},$ where $p$ and $q$ are integers and $\text{q}\neq0$: $5.\overline2$

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Factorize the following expressions: $27 x^3-y^3-z^3-9 x y z$

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If $a^2+b^2+c^2=250$ and $a b+b c+c a=3$, find $a+b+c$.

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Find the value of $\lambda$ if $\text{x}=-\lambda$ and $\text{y} = \frac{5}{2}$ is a solution of the equation $x + 4y - 7 = 0$

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Can a triangle have: All angles less than $60^{\circ}$ ? Justify your answer in case.

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Polynomials — Maths STD 9 — Question

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