If a polynomial f(x) when divided by (x - a) gives a remainder r₁, and when divided by (x - b) gives a remainder 72, what is the remainder of dividing f(x) by g(x) = (x-a)(x-b)?
If a polynomial f(x) when divided by (x - a) gives a remainder r₁, and when divided by (x - b) gives a remainder 72, what is the remainder of dividing f(x) by g(x) = (x-a)(x-b)?
Chapter5: Polynomials And Polynomial Functions
Section5.4: Dividing Polynomials
Problem 5.89TI: Use the Remainder Theorem to find the remainder when f(x)=x3+4x+15 is divided by x+2 .
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![If a polynomial f(x) when divided by (x – a) gives a remainder r1, and when divided by (x – b) gives a remainder r2, what is the
remainder of dividing f(x) by g(x) = (x – a) (x – b)?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F49bed40c-53d1-4460-9600-7ba0ca8fab7a%2Fdc22e551-fde0-4fde-b6e4-572e5b45ed32%2Fxyxjp9v_processed.jpeg&w=3840&q=75)
Transcribed Image Text:If a polynomial f(x) when divided by (x – a) gives a remainder r1, and when divided by (x – b) gives a remainder r2, what is the
remainder of dividing f(x) by g(x) = (x – a) (x – b)?
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