5.5 Zeros of polynomial functions  (Page 8/14)

$\left(x^4-1\right)÷\left(x-4\right)$

$\left(3x^3+4x^2-8x+2\right)÷\left(x-3\right)$

$\left(4x^3+5x^2-2x+7\right)÷\left(x+2\right)$

$f(x)=2x^3-9x^2+13x-6;x-1$

$f(x)=2x^3+x^2-5x+2;x+2$

$f(x)=3x^3+x^2-20x+12;x+3$

$f(x)=2x^3+3x^2+x+6;x+2$

$f(x)=-5x^3+16x^2-9;x-3$

$x^3+3x^2+4x+12;x+3$

$4x^3-7x+3;x-1$

$2x^3+5x^2-12x-30,\text{}2x+5$

$x^3-3x^2-10x+24=0$

$2x^3+7x^2-10x-24=0$

$x^3+2x^2-9x-18=0$

$x^3+5x^2-16x-80=0$

$x^3-3x^2-25x+75=0$

$2x^3-3x^2-32x-15=0$

$2x^3+x^2-7x-6=0$

$2x^3-3x^2-x+1=0$

$3x^3-x^2-11x-6=0$

$2x^3-5x^2+9x-9=0$

$2x^3-3x^2+4x+3=0$

$x^4-2x^3-7x^2+8x+12=0$

$x^4+2x^3-9x^2-2x+8=0$

$4x^4+4x^3-25x^2-x+6=0$

$2x^4-3x^3-15x^2+32x-12=0$

$x^4+2x^3-4x^2-10x-5=0$

$4x^3-3x+1=0$

$8x^{{}^4}+26x^3+39x^2+26x+6$

$x^3+x^2+x+1=0$

$x^3-8x^2+25x-26=0$

$x^3+13x^2+57x+85=0$

$3x^3-4x^2+11x+10=0$

$x^4+2x^3+22x^2+50x-75=0$

$2x^3-3x^2+32x+17=0$

$f(x)=x^3-1$

$f(x)=x^4-x^2-1$

$f(x)=x^3-2x^2-5x+6$

$f(x)=x^3-2x^2+x-1$

$f(x)=x^4+2x^3-12x^2+14x-5$

$f(x)=2x^3+37x^2+200x+300$

$f(x)=x^3-2x^2-16x+32$

$f(x)=2x^4-5x^3-5x^2+5x+3$

$f(x)=2x^4-5x^3-14x^2+20x+8$

$f(x)=10x^4-21x^2+11$

$f(x)=x^4+3x^3-4x+4$

$f(x)=2x^{{}^3}+3x^2-8x+5$

$f(x)=3x^{{}^3}+5x^2-5x+4$

$f(x)=6x^4-10x^2+13x+1$

$f(x)=4x^5-10x^4+8x^3+x^2-8$

$f(x)=6x^3-7x^2+1$

$f(x)=4x^3-4x^2-13x-5$

$f(x)=8x^3-6x^2-23x+6$

$f(x)=12x^4+55x^3+12x^2-117x+54$

$f(x)=16x^4-24x^3+x^2-15x+25$

Real roots: –1, 1, 3 and $\left(2,f\left(2\right)\right)=\left(2,4\right)$

Real roots: –1 (with multiplicity 2 and 1) and $\left(2,f\left(2\right)\right)=\left(2,4\right)$

Real roots: –2, $\frac{1}{2}$ (with multiplicity 2) and $\left(-3,f\left(-3\right)\right)=\left(-3,5\right)$

Real roots: $-\frac{1}{2}$ , 0, $\frac{1}{2}$ and $\left(-2,f\left(-2\right)\right)=\left(-2,6\right)$

Real roots: –4, –1, 1, 4 and $\left(-2,f\left(-2\right)\right)=\left(-2,10\right)$

The length is twice as long as the width. The height is 2 inches greater than the width. The volume is 192 cubic inches.

The length, width, and height are consecutive whole numbers. The volume is 120 cubic inches.

The length is one inch more than the width, which is one inch more than the height. The volume is 86.625 cubic inches.

The length is three times the height and the height is one inch less than the width. The volume is 108 cubic inches.

The length is 3 inches more than the width. The width is 2 inches more than the height. The volume is 120 cubic inches.

The radius is 3 inches more than the height. The volume is $16\pi$ cubic meters.

The height is one less than one half the radius. The volume is $72\pi$ cubic meters.

The radius and height differ by one meter. The radius is larger and the volume is $48\pi$ cubic meters.

The radius and height differ by two meters. The height is greater and the volume is $28.125\pi$ cubic meters.

The radius is $\frac{1}{3}$ meter greater than the height. The volume is $\frac{98}{9}\pi$ cubic meters.