The zeros to the equation 3 x 2 − 5 x − 2 = 0 are x = 3 and x = 2.
1 answer:
Answer:
False
Step-by-step explanation:
Solving the equation
3x² - 5x - 2 = 0
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 - 6 and + 1
Use these factors to split the x- term
3x² - 6x + x - 2 = 0 ( factor the first/second and third/fourth terms )
3x(x - 2) + 1(x - 2) = 0 ← factor out (x - 2) from each term
(x - 2)(3x + 1) = 0
Equate each factor to zero and solve for x
x - 2 = 0 ⇒ x = 2
3x + 1 = 0 ⇒ 3x = - 1 ⇒ x = -
Solutions are x = 2 and x = -
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Answer:
Step-by-step explanation:
step 1
we have the points
(-1,0), (-2,0), and (0,2)
Plot the points
using a graphing tool
see the attached figure
The graph of a quadratic function must be a vertical parabola open upward
The vertex is a minimum
The quadratic function in general form is equal to
Substitute the value of x and the value of y of each given ordered pair in the general equation and solve for a,b and c
(0,2)
For x=0, y=2
substitute
(-1,0)
For x=-1, y=0
substitute
---->
----> equation A
(-2,0)
For x=-2, y=0
substitute
----> equation B
we have the system
----> equation A
----> equation B
substitute equation A in equation B
solve for b
Find the value of a
therefore
The quadratic function in general form is equal to
see the attached figure N 2 to better understand the problem
