Given that the remainder when f(x) = x3 − 2x2 − ax + b is divided by x − 1is 96 and that x − 4 is a factor, determine the values of a and b.
Question
Solution 1
To solve this problem, we will use the Remainder Theorem and the Factor Theorem.
Step 1: Use the Remainder Theorem The Remainder Theorem states that if a polynomial f(x) is divided by x - k, the remainder is f(k). In this case, we know that the remainder when f(x) is divided by x - 1 is 96. Therefo Knowee AI is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI
Similar Questions
Given that the remainder when f(x) = x3 − 2x2 − ax + b is divided by x − 1is 96 and that x − 4 is a factor, determine the values of a and b.
Given that f(x) = x3 + 2x2 + 3x, find the remainder when f(x + 2) isdivided by x − 2.
Use long division to find the quotient and remainder when 2x5 + 4x4 − x3 − x2 + 5 is divided by 2x2 − 1.
Given x − 6 is a factor of f(x) = x3 + 5x2 − 48x − 108, determine the othertwo linear factors of f(x).
When x³+ax²+4 is divided by x+1, the remainder is 6 greater than the remainder when it is divided by x-2, the value of a is
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.