Discover answers to your most pressing questions at Westonci.ca, the ultimate Q&A platform that connects you with expert solutions. Get detailed and accurate answers to your questions from a dedicated community of experts on our Q&A platform. Connect with a community of professionals ready to help you find accurate solutions to your questions quickly and efficiently.
Sagot :
Answer:
see explanation
Step-by-step explanation:
3x² + 5x + 2 = 0
(a)
Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term.
product = 3 × 2 = 6 and sum = 5
The factors are + 3 and + 2
Use these factors to split the x- term
3x² + 3x + 2x + 2 = 0 ( factor the first/second and third/fourth terms )
3x(x + 1) + 2(x + 1) = 0 ← factor out (x + 1) from each term
(x + 1)(3x + 2) = 0
(b)
Equate each factor to zero and solve for x
x + 1 = 0 ⇒ x = - 1
3x + 2 = 0 ⇒ 3x = - 2 ⇒ x = - [tex]\frac{2}{3}[/tex]
We appreciate your time on our site. Don't hesitate to return whenever you have more questions or need further clarification. Thank you for your visit. We're committed to providing you with the best information available. Return anytime for more. Get the answers you need at Westonci.ca. Stay informed by returning for our latest expert advice.