Polynomial Theorem

• No additional zeros

Explain why it makes sense that a third degree polynomial must have at least one rational zero.

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Find all the real zeros of the function f(x) = 2x³ - 19x² + 38x + 24 given that x-4 is a factor.

• x = 4, -1/2, -6

• x = 4, -3, 2

• x = 4, -1/2, 6

• x = 4, 1/2, -6

Is (x-4) a factor of (x³ +x² -16x-16)?

• YES

• NO

If (x + 3) is a factor of p(x), then p(- 3) = ​ (a)   .

• 0

• 3

• -3

• None of these.

Is (x-3) a factor of
(x³ - 3x² + 2x + 2)?

• Yes

• No

Is (x-4) a factor of (x³ +x² -16x-16)?

• YES

• NO

If 𝒙²−𝟓 is divided by 𝒙−𝟐, then what is the remainder?

If 𝟐x²+𝟏𝟎 is divided by 𝒙−𝟏, then what is the remainder?