Question

Calculate p(5) using synthetic division and the remainder theorem. p(x)=x^4-8x^3-7x^2-50x+48

Answer 1

To find p(5) using synthetic division and the remainder theorem, set up the synthetic division, write the coefficients in descending order, and perform the division to find the remainder.

Step-by-step explanation:

To use synthetic division and the remainder theorem to find p(5) for the given polynomial p(x) = x^4-8x^3-7x^2-50x+48, follow these steps:

1. Set up the synthetic division with the constant term (48) as the divisor.
2. Write the coefficients of the polynomial in descending order (1, -8, -7, -50, 48).
3. Perform the synthetic division to find the remainder. The remainder will be the value of p(5).

By performing the synthetic division, the remainder is 3. Therefore, p(5) = 3.