Answer:
[tex]p( - \frac{1}{2} ) = \frac{27}{4} [/tex]
Step-by-step explanation:
p(x) = 3x² - 2x - 5
To find p( -½) substitute the value of x that's -½ into p(x) and evaluate the value
That's
[tex]p( - \frac{1}{2} ) = 3 ({ - \frac{1}{2} })^{2} - 2( - \frac{1}{2} ) + 5 \\ = 3( \frac{1}{4} ) + 1 + 5 \\ = \frac{3}{4} + 6[/tex]
Find the LCM
The LCM is 4
So we have
[tex]p( - \frac{1}{2} ) = \frac{3}{4} + 6 \\ = \frac{3 + 24}{4} [/tex]
We have the final answer as
[tex]p( - \frac{1}{2} ) = \frac{27}{4} [/tex]
Hope this helps you
