Resources

Resources

Bytelearn - cat image with glasses

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

The polynomial $\newline$ has a known factor of $\newline$ . $\newline$ Rewrite $\newline$ as a product of linear factors.

View step-by-step help

View step-by-step help

Prime factorization with exponents

Full solution

Q. The polynomial

\newline

has a known factor of

\newline

.

\newline

Rewrite

\newline

as a product of linear factors.

Identify Polynomial and Factor: Identify the polynomial and the known factor. The polynomial is not specified in the problem, so let's assume it's $x^2 - 5x + 6$ and the known factor is $x - 2$ .
Perform Polynomial Division: Perform polynomial division to find the other factor. Divide $x^2 - 5x + 6$ by $x - 2$ . $\newline$ Calculation: $\newline$ - $x^2 \div x = x$ $\newline$ - $x \cdot (x - 2) = x^2 - 2x$ $\newline$ - Subtract $x^2 - 2x$ from $x^2 - 5x + 6$ to get $-3x + 6$ $\newline$ - $-3x \div x = -3$ $\newline$ - $-3 \cdot (x - 2) = -3x + 6$ $\newline$ - Subtract $-3x + 6$ from $-3x + 6$ to get $0$ . $\newline$ So, the quotient is $x - 2$ $1$ .
Write as Linear Factors: Write the polynomial as a product of linear factors. Since the division resulted in no remainder, the polynomial $x^2 - 5x + 6$ can be expressed as $(x - 2)(x - 3)$ .

More problems from Prime factorization with exponents

Question

The Huffman Corporation would like to donate

15

20

printers to local schools. The corporation would like to make sure that each school receives the same set of computers and printers, with none left over. What is the greatest number of schools that The Huffman Corporation can donate to?

\newline

\_\_\_\_

Posted 2 months ago

Question

What is the greatest common factor of

2

14

\newline

Posted 2 months ago

Question

What is the least common multiple of

6

12

\newline

Posted 2 months ago

Question

Which numbers are factors of

20

? Select all that apply.

\newline

17

\newline

5

\newline

9

\newline

7

Posted 25 days ago

Question

Kris is wrapping Christmas lights around the railing that runs around three sides of his square porch If one side of his porch is

12

feet long, and each strand of his Christmas lights will wrap around a

70

-inch length of the railing, what is the minimum number of strands Kris needs to completely wrap the porch railing?

\newline

6

\newline

7

\newline

8

\newline

9

Posted 2 months ago

Question

What is the greatest common factor of

35 y^{4}, 14 y^{4}

63 y^{4}

Posted 4 months ago

Question

What is the greatest common factor of

60 \mathrm{w}, 36 w^{2}

24 w^{4}

Posted 1 month ago

Question

Find the greatest common factor of

75

8

21

Posted 4 months ago

Question

Find the greatest common factor of

110

40

120

Posted 4 months ago

Question

What is the greatest common factor of

6 a, 8 a^{2}

14

Posted 4 months ago