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Determining roots of polynomials using remainder theorem

Find the roots of the polynomial using remainder theorem $x^2-9x+18$ .

{3,-6}

{3,6}

{-3,6}

Find the roots of the polynomial $x^2-4x+3$ .

{-1,3}

{1,3}

{-1,-3}

Find the roots of the polynomial $x^2-x-2$ .

{2,-1}

{2,1}

{-2,-1}

Find the roots of the polynomial $x^2-20x+64$ .

{4,16}

{-4,16}

{4,-16}

Find the roots of the polynomial $x^2-25x+84$ .

{4,-21}

{4,21}

{-4,21}

Find the roots of the polynomial $x^2+12x-85$ .

{-5,17}

{5,17}

{5,-17}

$Identify\ if\ x+2\ is\ a\ factor\ of\ f(x)=x^2+4x+4\ u\sin g\ the\ remainder\ theorem.$

Factor

Not a factor

$Identify\ if\ x-2\ is\ a\ factor\ of\ \ f(x)=x^2-4\ u\sin g\ the\ remainder\ theorem.$

Factor

Not a factor

Fill in the blank
$x=a$ will be the root of polynomial if reminder________.

0

1 $a$

$Identify\ \ if\ x\ is\ a\ factor\ of\ f(x)=x^3-1\ u\sin g\ the\ remainder\ theorem.$

Factor

Not a factor

Questions

Time

Score

Determining roots of polynomials using remainder theorem

Find the roots of the polynomial using remainder theorem ﻿x2−9x+18x^2-9x+18x2−9x+18﻿.

{3,-6}

{3,6}

{-3,6}

Find the roots of the polynomial ﻿x2−4x+3x^2-4x+3x2−4x+3﻿.

{-1,3}

{1,3}

{-1,-3}

Find the roots of the polynomial ﻿x2−x−2x^2-x-2x2−x−2﻿.

{2,-1}

{2,1}

{-2,-1}

Find the roots of the polynomial ﻿x2−20x+64x^2-20x+64x2−20x+64﻿.

{4,16}

{-4,16}

{4,-16}

Find the roots of the polynomial ﻿x2−25x+84x^2-25x+84x2−25x+84﻿.

{4,-21}

{4,21}

{-4,21}

Find the roots of the polynomial ﻿x2+12x−85x^2+12x-85x2+12x−85﻿.

{-5,17}

{5,17}

{5,-17}

﻿Identify if x+2 is a factor of f(x)=x2+4x+4 usin⁡g the remainder theorem.Identify\ if\ x+2\ is\ a\ factor\ of\ f(x)=x^2+4x+4\ u\sin g\ the\ remainder\ theorem.Identify if x+2 is a factor of f(x)=x2+4x+4 using the remainder theorem.﻿

Factor

Not a factor

﻿Identify if x−2 is a factor of f(x)=x2−4 usin⁡g the remainder theorem.Identify\ if\ x-2\ is\ a\ factor\ of\ \ f(x)=x^2-4\ u\sin g\ the\ remainder\ theorem.Identify if x−2 is a factor of f(x)=x2−4 using the remainder theorem.﻿

Factor

Not a factor

Fill in the blank﻿x=ax=ax=a﻿ will be the root of polynomial if reminder________.

0

1

﻿aaa﻿

﻿Identify if x is a factor of f(x)=x3−1 usin⁡g the remainder theorem.Identify\ \ if\ x\ is\ a\ factor\ of\ f(x)=x^3-1\ u\sin g\ the\ remainder\ theorem.Identify if x is a factor of f(x)=x3−1 using the remainder theorem.﻿

Factor

Not a factor

Incorrect

Great!

Find the roots of the polynomial using remainder theorem $x^2-9x+18$ .

Find the roots of the polynomial $x^2-4x+3$ .

Find the roots of the polynomial $x^2-x-2$ .

Find the roots of the polynomial $x^2-20x+64$ .

Find the roots of the polynomial $x^2-25x+84$ .

Find the roots of the polynomial $x^2+12x-85$ .

$Identify\ if\ x+2\ is\ a\ factor\ of\ f(x)=x^2+4x+4\ u\sin g\ the\ remainder\ theorem.$

$Identify\ if\ x-2\ is\ a\ factor\ of\ \ f(x)=x^2-4\ u\sin g\ the\ remainder\ theorem.$

Fill in the blank
$x=a$ will be the root of polynomial if reminder________.

$a$

$Identify\ \ if\ x\ is\ a\ factor\ of\ f(x)=x^3-1\ u\sin g\ the\ remainder\ theorem.$