Question

(1 point)

Use factoring to solve the polynomial equation:
x(x-2)=48
Answer (Type as x=n or x=m ):
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Use factoring to solve the polynomial equation:
x(x-2)=48
Answer (Type as x=n or x=m ):
Your score was recorded. Your score was successfully sent to the LMS You have attempted this problern 27 times.
You received a score of 0% for this attempt.
Your overall recorded score is 50%.
You have unlimited attempts remaining.

Answer 1

x = - 6 or x = 8

Explanation:

x(x - 2) = 48 ← distribute parenthesis on left by x

x² - 2x = 48 ( subtract 48 from both sides )

x² - 2x - 48 = 0 ← in standard form

to factor the quadratic, consider the factors of the constant term (- 48) which sum to give the coefficient of the x- term (- 2 )

the factors are 6 and - 8 , since

6 × - 8 = - 48 and 6 - 8 = - 2 , then

x² - 2x - 48 = 0

(x + 6)(x - 8) = 0 ← in factored form

equate each factor to zero and solve for x

x + 6 = 0 ⇒ x = - 6

x - 8 = 0 ⇒ x = 8