Use synthetic division to show that the number given to the right of the equation is a solution of the equation. Then solve the polynomial equation.
2x^(3)+x^(2)-8x-4=0; 2

Step-by-step explanation:

The given polynomial equation is

We perform the synthetic division as shown in the attachment by dividing by x-2.

This gives a remainder of 0 and a quotient of

This means the polynomial equation becomes:

We factor the quadratic term by splitting the middle term;

Collect common factors again:

The solution is:

step-by-step explanation:

given that there are two triangles j'k'l' and jkl>

the former is got by dilating the second one.

when drawn on a grid, (graph paper) coordinates of vertices of first triangle is

(6,12)j, (9,6)k and (12,9)l

side jk has length = distance between j and k

=

side j'k'=distance between j' and k'

=

ie j'k'l' has sides 1/3 of that of corresponding sides of jkl.

hence scale factor of 1/3 is used to get j'k'l'from jkl