Polynomials and Complex Numbers

X-intercepts

100

The coordinates of the x-intercepts for the polynomial y=(x-3)(x+5)(x-2) are. . .

(3,0)
(-5,0)
(2,0)

200

The coordinates of the x-intercepts for the polynomial y=x(x-4)(x+7)(x-2)² are. . .

(0,0)
(4,0)
(-7,0)
(2,0) with a multiplicity of 2

300

The coordinates of the x-intercepts for the polynomial y=2x³-20x²+50x are. . .

(0,0)
(5,0) with a multiplicity of 2

Factoring

100

x³-14x²+40x

x(x−4)(x−10)

200

2x²+11x+5

(2x+1)(x+5)

300

3x³-24x²+48x

3x(x−4)(x−4)

Multiplication

100

(x-2)(x+7)

x²+5x-14

200

-4(x+3)(x-7)

-4x²+16x+84

300

3(x+5)(x-7)²

3x³-9x²-72x+240

Division

100

(x²+6x+9) / (x+3)

x+3

200

(x³-12x²+20x) / (x-2)

x(x-10) OR x²-10x

300

(2x³+12x²+16x) / (2x²+8x)

(x+2)

Complex Numbers

100

2+3i+2-3i

4

200

5+4i-7i+2-5

2-3i

300

2(3-4i+5-2i²)

20-8i