Recent questions tagged algebra

The coefficient of $x^{4}$ in the polynomial $(x-1)^{3}(x-2)^{3}$ is equal to __________.$33$$-3$$30$$21$

If $7^{3 x}=216$, the value of $7^{-x}$ (rounded off to three decimal places) is _____________.

The binary operation $\square$ is defined as $a \square b = ab+(a+b)$, where $a$ and $b$ are any two real numbers. The value of the identity element of this operation, de...

Operators $\square$, $\lozenge$ and $\rightarrow$ are defined by: $a \: \square \: b = \dfrac{a-b}{a+b}$; $a \: \lozenge \: b = \dfrac{a+b}{a-b}$; $a \rightarrow b = ab$....

If $x^2 + x – 1 = 0$ what is the value of $x^4 + \dfrac{1}{x^4}$?$1$$5$$7$$9$