Resources

Resources

Bytelearn - cat image with glasses

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Factor. $\newline$ $k^2 + 9k + 18$ $\newline$ ______

View step-by-step help

View step-by-step help

Factor quadratics with leading coefficient 1

Full solution

Q. Factor.

\newline

k^2 + 9k + 18

\newline

______

Identify Coefficients: Identify the coefficients of the quadratic expression. $k^2 + 9k + 18$ has coefficients $a = 1$ , $b = 9$ , and $c = 18$ .
Find Multiplying Numbers: Look for two numbers that multiply to $ac$ ( $1\times18$ ) and add up to $b$ ( $9$ ). $\newline$ The numbers $3$ and $6$ work because $3 \times 6 = 18$ and $3 + 6 = 9$ .
Write as Binomials: Write the quadratic expression as a product of two binomials using the numbers found. $\newline$ $(k + 3)(k + 6)$ is the factored form of $k^2 + 9k + 18$ .

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 2 months 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

9j^2 - 16

\newline

Posted 2 months 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 6 months ago

Question

\newline

z^2 + 13z + 22

\newline

Posted 6 months ago

Question

Simplify the expression:

\newline

5x + 9x - 4x - 2x

\newline

Posted 7 months ago

Question

3 - 3^2

Posted 7 months ago

Question

5 - 5^2

Posted 5 months ago

Question

The surface area,

\boldsymbol{S}

, of a sphere can be found using the formula

\newline

S=4 \pi r^{2}

\newline

If the surface area of a ball is approximately

76

^{2}

, what is the approximate radius,

r

, of this ball?

\newline

9

84

\newline

4

36

\newline

8

72

\newline

2

46

Posted 1 hour ago

Related topics

Algebra - Order of Operations Algebra - Distributive Property `X` and `Y` Axes Geometry - Scalene Triangle Common Multiple Geometry - Quadrant