Question

Let's look at dividing a polynomial by a non-factor. If f(x) = x² + 7x − 5, and you divide b

x-2, what is the quotient and remainder?
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Notice the 2 in our divisor (x-2) for # 9. What is f(2)?

Answer 1

When dividing a polynomial by a non-factor, the quotient and remainder can be found using long division. Substituting a value into the polynomial gives the function value at that point.

Step-by-step explanation:

When dividing a polynomial by a non-factor, we can use long division to find the quotient and remainder. In this case, the polynomial is f(x) = x² + 7x - 5 and the divisor is x - 2.

Using long division, the quotient is x + 9 and the remainder is 13.

To find f(2), we substitute x = 2 into the polynomial: f(2) = (2)² + 7(2) - 5 = 4 + 14 - 5 = 13.

Learn more about Dividing polynomials