Watch the video and then solve the problem given below. Click here to watch the video. Suppose a polynomial function of degree 4 with rational coefficients has the following given numbers as zeros. Find the other zero(s). \( -i, 6-\sqrt{11} \) The other zero(s) is/are \( \square \). (Use a comma to separate answers as needed.)

3. Даны векторы \( \vec{m}(6 ;-8), \vec{n}(2 ;-3), \vec{a}=(x ; 7) \). Найдите: a) косинус угла между векторами \( \vec{m} \) и \( \vec{n} \); b) число \( x \), если векторы \( \vec{m} \) и \( \vec{a} \) коллинеарны; c) число \( x \), если векторы \( \vec{n} \) и \( \vec{a} \) перпендикулярны.

Prove that \( \triangle F G H \cong \triangle J K L \) are congruent. \( \begin{array}{l}F(4,6) G(5,7) H(7,4) \\ J(7,-4) K(2,-5) L(4,-2)\end{array} \)

Solve the equation \( 5 x^{2}-6 x-3=0 \). Show all your working and give your answers correct to 2 decimal places.

\begin{tabular}{l} Exercice 5 \\ Exercice 6 \\ exminer les entiers naturels xpour que le nombre 31x8 soit divisible 3 et 4 \\ \hline\end{tabular}

Consider the product \( \left(1+\frac{1}{2}\right)\left(1+\frac{1}{3}\right)\left(1+\frac{1}{4}\right) \ldots \) Each factor in the product is of the form \( \left(1+\frac{1}{n}\right) \) for \( n \geq 2 \). Determine ALL the values of \( n \) for which the product will be an integer value.