Respuesta :
Answer:
x = 1/2
x = -3
Step-by-step explanation:
[tex]f(x)=2x^2+5x-3[/tex]
Factor
Zero Product Property
X-Intercepts
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To find the x intercepts, we need to first factor our given polynomial. The quickest trick I use to factor is to find two numbers that multiply to c (in this case -3) and the same two numbers that add to b (in this case 5).
The two numbers would be -1 and 3, but along with 2x to help out.
Therefore the binomial for this factor is :
[tex](2x-1)(x+3)[/tex]
Now to solve the x-intercepts, we separate the binomials into an algebraic expressions :
2x - 1 = 0
x + 3 = 0
Isolate for x in both of them :
2x - 1 = 0
Add 1 to both sides :
2x = 1
Divide both sides by 2 :
x = 1/2
x + 3 = 0
Subtract 3 from both sides :
x = -3
