102k views
1 vote
For the polynomial p(x) = x² – 5x – 5, find p(3)

User Addem
by
8.0k points

1 Answer

2 votes

Final answer:

To calculate p(3) for the polynomial p(x) = x² – 5x – 5, substitute 3 for x to get p(3) = (3)² – 5(3) – 5, which simplifies to p(3) = 9 – 15 – 5 = -11.

Step-by-step explanation:

To find p(3) for the polynomial p(x) = x² – 5x – 5, we need to substitute the value 3 into the polynomial:

p(3) = (3)² – 5(3) – 5

• First, square the value 3: (3)² = 9

• Next, multiply 5 by 3: 5(3) = 15

• Now, plug these values back into the polynomial:

p(3) = 9 – 15 – 5

• Combine the terms:

p(3) = 9 – 15 – 5

= -11

Therefore, the value of p(3) is –11.

User Godfather
by
7.7k points