Resources

Resources

Bytelearn - cat image with glasses

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Factor. $\newline$ $k^2 + 6k + 8$

View step-by-step help

View step-by-step help

Factor quadratics with leading coefficient 1

Full solution

Q. Factor.

\newline

k^2 + 6k + 8

Identify coefficients: Identify the coefficients $a$ , $b$ , and $c$ in the quadratic expression $k^2 + 6k + 8$ . The quadratic expression is in the form of $ak^2 + bk + c$ , where $a = 1$ , $b = 6$ , and $c = 8$ .
Find two numbers: Determine two numbers that multiply to $c$ ( $8$ ) and add up to $b$ ( $6$ ). We need to find two numbers that when multiplied give us $8$ and when added give us $6$ . The numbers $2$ and $4$ satisfy these conditions because $2 \times 4 = 8$ and $2 + 4 = 6$ .
Write factored form: Write the factored form using the two numbers found in the previous step. $\newline$ The factored form of the quadratic expression is $(k + 2)(k + 4)$ .

More problems from Factor quadratics with leading coefficient 1

Question

Find the greatest common factor.

\newline

9v^3, 6v^3

\newline

\newline

Write your answer as a constant times a product of single variables raised to exponents.

\newline

\underline{\hspace{1cm}}

Posted 1 month ago

Question

Factor out the greatest common factor. If the greatest common factor is

1

, just retype the polynomial.

\newline

6x^3 + 9x^2

\newline

Posted 2 months ago

Question

\newline

k^2 + 9k + 18

\newline

Posted 1 month ago

Question

\newline

9j^2 - 16

\newline

Posted 1 month ago

Question

\newline

j^3 + 2j^2 + 5j + 10

Posted 2 months ago

Question

x^4 + 6x^2 + 9

\newline

All factors in your answer should have integer coefficients.

\newline

Posted 2 months ago

Question

\newline

z^2 + 13z + 22

\newline

Posted 1 month ago

Question

Simplify the expression:

\newline

5x + 9x - 4x - 2x

\newline

Posted 3 months ago

Question

3 - 3^2

Posted 3 months ago

Question

5 - 5^2

Posted 1 month ago