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Digital SAT
Digital SAT Mathematics - No Calculator Section

Finding the Remainder of a Polynomial

Medium Passport To Advanced Math Manipulating Polynomials

Consider the polynomial $$P(x) = 3x^4 - 5x^3 + 2x^2 - x + 8$$. If the polynomial is divided by $$x - 2$$, what is the remainder?

To find the remainder of a polynomial divided by a linear divisor, you can use the Remainder Theorem, which states that the remainder of the division of $$P(x)$$ by $$x - c$$ is equal to $$P(c)$$.

Hint

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