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3 years ago

Pre-calc: Write a degree 3 polynomial with zeros 2, 4, -3

Mathematics

1 answer:

leva [86]3 years ago

5 0

Answer:

x³-3x²-10x+24

Step-by-step explanation:

Ha, you're in luck; I just learned this last week

Zeros: 2, 4, -3

(x-2)(x-4)(x+3) (I will be multiplying the zeros 2 and 4 first) ——Distributive Property

(x²-4x-2x+8)(x+3) ––Combine like terms

(x²-6x+8)(x+3) ––Distibutive Property

x³+3x²-6x²-18x+8x+24 ––Combine like terms

x³-3x²-10x+24 ––Final answer, to the third degree

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Answer:

The largest integer value that makes the inequality true is 9.

General Formulas and Concepts:
Algebra I

Equality Properties

Multiplication Property of Equality
Division Property of Equality
Addition Property of Equality
Subtraction Property of Equality

Terms/Coefficients

Step-by-step explanation:

Step 1: Define

Identify.

1x - 8 < 2x + 1

Step 2: Solve for x

Simplify: x - 8 < 2x + 1
[Subtraction Property of Equality] Subtract x on both sides: -8 < x + 1
[Subtraction Property of Equality] Subtract 1 on both sides: -8 < x
Rewrite: x > -8

∴ we see that any number x greater than -8 would work as a solution to the inequality. That would mean the next largest integer, 9, would be our answer.

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Topic: Algebra I

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