Solving Quadratic Equations Using Patterns Practice

Question

Complete this assessment to review what you’ve learned. It will not count toward your grade.
1 of 51 of 5 Items
Question
Supply the numbers to write x2+10x+16=0
in its factored form. Enter the lesser number first.(1 point)
(x+

)(x+

)=0
Remaining Attempts : 3
Skip to navigation

Answer 1

To factor the quadratic equation \( x^2 + 10x + 16 = 0 \), we need to find two numbers that multiply to \( 16 \) (the constant term) and add up to \( 10 \) (the coefficient of the linear term).

The numbers that meet these requirements are \( 2 \) and \( 8 \):

• \( 2 \times 8 = 16 \) (multiplies to 16)
• \( 2 + 8 = 10 \) (adds to 10)

Thus, we can write the factored form of the equation as:

\[ (x + 2)(x + 8) = 0 \]

So you would enter:

\[ (x + 2)(x + 8) = 0 \]

Make sure to enter "2" first since it's the lesser number.