Factor:X^3-5x^2+7x-12: (x-4)(x^2-x+3) show all work

Step-by-step explanation:

Given a polynomial of X^3-5x^2+7x-12, we can factor this by first identifying the trailing coefficient of the constant tern which is -12, and then find its factors with plus, or minus.

12 = 12 × 1 = 6 × 2 = 4 × 3 = 2 × 2 × 3 = 3 × 2 × 2.

4 is the factor we are looking for so we can use synthetic division to find the missing factor because we know (x-4) is one of them.

so (x^3-5x^2+7x-12)/(x-4) = (x^3-5x^2+7x-12) ÷ (x-4)

answer: option a.

step-by-step explanation:

you know that the quadrilateral opqr ( a four sided figure) is inscribed in circle. this means that all its vertices are on the circle.

then, by definition, the opposite angles of the quadrilateral are supplementary, this means that the sum of their measures is 180 degrees.

you can observe in the figure that the angles ∠opq   and the angle ∠orq   are opposite, therefore:

then, can be used to d to calculate the measure of ∠opq