Question
Factor x squared plus 13 x plus 36.
Question content area bottom
Part 1
x squared plus 13 x plus 36equals(xplus9)(x
▼
negative 13
plus 4
plus 13
negative 4
)
Question content area bottom
Part 1
x squared plus 13 x plus 36equals(xplus9)(x
▼
negative 13
plus 4
plus 13
negative 4
)
Answers
GPT-4o mini
To factor the quadratic expression \( x^2 + 13x + 36 \), we are looking for two numbers that multiply to 36 (the constant term) and add up to 13 (the coefficient of the linear term).
The numbers that meet these criteria are 9 and 4 because:
- \( 9 \times 4 = 36 \)
- \( 9 + 4 = 13 \)
Therefore, we can factor the expression as follows:
\[
x^2 + 13x + 36 = (x + 9)(x + 4)
\]
So, the complete factored expression is:
\[
x^2 + 13x + 36 = (x + 9)(x + 4)
\]
In the context of your original question, the correct completion would be:
\( x^2 + 13x + 36 = (x + 9)(x + 4) \)
The numbers that meet these criteria are 9 and 4 because:
- \( 9 \times 4 = 36 \)
- \( 9 + 4 = 13 \)
Therefore, we can factor the expression as follows:
\[
x^2 + 13x + 36 = (x + 9)(x + 4)
\]
So, the complete factored expression is:
\[
x^2 + 13x + 36 = (x + 9)(x + 4)
\]
In the context of your original question, the correct completion would be:
\( x^2 + 13x + 36 = (x + 9)(x + 4) \)