Write the polynomial in standard form given the following zeros. Show all work. (hint; the polynomials are of degree 3)

1. x = -3i, x=2

2. x = 3(multiplicity 2), x = -1

Please show work I need it please and thanks fir Hu ever answers it

x³ - 2x² + 9x - 18x³ - 5x² + 3x + 9

Step-by-step explanation:

1.

Zero's

x = -3i, x = 2 and the third zero is x = 3i

Polynomial is:

(x + 3i)(x - 3i)(x - 2) =(x² - 9i²)(x - 2) =(x² + 9)(x - 2) =x³ - 2x² + 9x - 18

2.

Zeros:

x = 3, x = 3, x = -1

Polynomial is:

(x - 3)(x - 3)(x + 1) = (x² - 6x + 9)(x + 1) =x³ + x² - 6x² - 6x + 9x + 9 =x³ - 5x² + 3x + 9

Answer: question no. 1 -a. yes, the sides are in the ratio 2 : 5.question no. 2 -b. 59°question no. 3 -c. angles x and y are remote interior angles.question no. 4 -d. 90°, 45° and 45°question no. 5 -b. mn and qrstep-by-step explanation: question no. 1 -rs : xu = 3 : 7.5 = 2 : 5rt : x? = 6.4 : 16 = 2 : 5st : u? = 6 : 15 = 2 : 5as the ratios of all sides are equivalent, the triangles must be congruent and the sides must be proportional.therefore, the answer is: a. yes, the sides are in the ratio 2 : 5.question no. 2 -in the second diagram, angle b is the only letter not shown. therefore, the number must be equivalent to angle b.if we substitute the value of angle b as being 22° in the first diagram, we can now use the angle sum of a triangle to obtain the value of angle a.angle sum of a triangle = 180°therefore: let angle a = aa + 99 + 22 = 180a = 180 - 99 - 22a = 59°therefore, the answer is: b. 59°question no. 3 -angles x and y don't share the vertex of the triangle with the exterior angle w. remote interior angles don't share a vertex of a triangle with an exterior angle. this means that angles x and y are remote interior angles.therefore, the answer is: c. angles x and y are remote interior angles.question no. 4 -the sum of all interior angles of a triangle must be equivalent to 180°.90°, 45° and 45° are the only set of angle measures that are equivalent to 180°.therefore, the answer is: d. 90°, 45° and 45°question no. 5 -the only pair of sides stated in the options which are corresponding are mn and qr.therefore, the answer is: b. mn and qr.