Remainder Theorem for Polynomials

Which theorem is best to use when you are ask for the remainder of (3x³ -5x² -4x +1) ÷ (x + 3)?

• Remainder Theorem

• Factor Theorem

• Rational Roots Theorem

Which theorem is the most appropriate to apply when you are asked for the remainder when a³ - 4 is divided by a + 2?

• Remainder Theorem

• Factor Theorem

• Rational Roots Theorem

Use remainder theorem to solve for remainder R when dividing the polynomials: Use hyphen "-" for negative sign. 3x^2+5x^3-8 \div \left(x-4\right)

If 𝒙²+𝟑𝒙+𝟕 is divided by 𝒙+𝟐, then what is the remainder?

Determine if the binomial is a factor of the polynomial. (Apply Remainder Theorem)
\left(3n^3-26n^2-39n-10\right)\div\left(n-10\right)

• Yes

• No

Using the remainder theorem, find the value of k if the polynomial 6x^3 - 7x^2 + 4x + k leaves a remainder of 3 when divided by x - 1.

• The value of k is 0.

• The value of k is 6.

• The value of k is 10.

• The value of k is -2.