Resources

Resources

Bytelearn - cat image with glasses

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Factor. $\newline$ $p^2 + 5p + 6$

View step-by-step help

View step-by-step help

Factor quadratics with leading coefficient 1

Full solution

Q. Factor.

\newline

p^2 + 5p + 6

Identify Variables: Identify $a$ , $b$ , and $c$ in the quadratic expression $p^2 + 5p + 6$ . The quadratic expression is in the form $p^2 + bp + c$ , where $a = 1$ , $b = 5$ , and $c = 6$ .
Find Two Numbers: Find two numbers that multiply to $c (6)$ and add up to $b (5)$ . We need to find two numbers that when multiplied give $6$ and when added give $5$ . The numbers $2$ and $3$ satisfy these conditions because $2 \times 3 = 6$ and $2 + 3 = 5$ .
Write Factored Form: Write the factored form using the two numbers found in Step $2$ . $\newline$ The factored form of the quadratic expression is $(p + 2)(p + 3)$ , because these two binomials multiply to give the original quadratic expression.

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