True or False We can divide −4 x 3 + 5 x 2 + 10 x − 3 by x 2 − 2 using synthetic division.

Question

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Answer 1

Textbook Question

Chapter A, Problem 1E

True or False We can divide −4x³ + 5x² + 10x − 3 by x² − 2 using synthetic division.

Expert Solution & Answer

To determine

Whether the statement “We can divide −4x3+5x2+10x−3 by x2−2 using synthetic division” is true or false.

Answer to Problem 1E

The statement is false.

Explanation of Solution

Notice that synthetic division is used to find a quotient and remainder when dividing a polynomial of degree 1 or higher, by an expression of the form x−c. IT is a version of long division.

Note that, synthetic division can be used only when the divisor is linear and is of the form x−c.

The divisor x2−2 is a second degree polynomial and hence cannot be used in synthetic division.

Therefore, the given statement is false.

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Answer 2

Textbook Question

Chapter A, Problem 1E

True or False We can divide −4x³ + 5x² + 10x − 3 by x² − 2 using synthetic division.

Expert Solution & Answer

To determine

Whether the statement “We can divide −4x3+5x2+10x−3 by x2−2 using synthetic division” is true or false.

Answer to Problem 1E

The statement is false.

Explanation of Solution

Notice that synthetic division is used to find a quotient and remainder when dividing a polynomial of degree 1 or higher, by an expression of the form x−c. IT is a version of long division.

Note that, synthetic division can be used only when the divisor is linear and is of the form x−c.

The divisor x2−2 is a second degree polynomial and hence cannot be used in synthetic division.

Therefore, the given statement is false.

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Answer 3

Textbook Question

Chapter A, Problem 1E

True or False We can divide −4x³ + 5x² + 10x − 3 by x² − 2 using synthetic division.

Expert Solution & Answer

To determine

Whether the statement “We can divide −4x3+5x2+10x−3 by x2−2 using synthetic division” is true or false.

Answer to Problem 1E

The statement is false.

Explanation of Solution

Notice that synthetic division is used to find a quotient and remainder when dividing a polynomial of degree 1 or higher, by an expression of the form x−c. IT is a version of long division.

Note that, synthetic division can be used only when the divisor is linear and is of the form x−c.

The divisor x2−2 is a second degree polynomial and hence cannot be used in synthetic division.

Therefore, the given statement is false.

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Answer 4

Textbook Question

Chapter A, Problem 1E

True or False We can divide −4x³ + 5x² + 10x − 3 by x² − 2 using synthetic division.

Expert Solution & Answer

To determine

Whether the statement “We can divide −4x3+5x2+10x−3 by x2−2 using synthetic division” is true or false.

Answer to Problem 1E

The statement is false.

Explanation of Solution

Notice that synthetic division is used to find a quotient and remainder when dividing a polynomial of degree 1 or higher, by an expression of the form x−c. IT is a version of long division.

Note that, synthetic division can be used only when the divisor is linear and is of the form x−c.

The divisor x2−2 is a second degree polynomial and hence cannot be used in synthetic division.

Therefore, the given statement is false.

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Answer 5

Textbook Question

Answer 6

Textbook Question

Answer 7

Expert Solution & Answer

To determine

Whether the statement “We can divide −4x3+5x2+10x−3 by x2−2 using synthetic division” is true or false.

Answer to Problem 1E

The statement is false.

Explanation of Solution

Notice that synthetic division is used to find a quotient and remainder when dividing a polynomial of degree 1 or higher, by an expression of the form x−c. IT is a version of long division.

Note that, synthetic division can be used only when the divisor is linear and is of the form x−c.

The divisor x2−2 is a second degree polynomial and hence cannot be used in synthetic division.

Therefore, the given statement is false.

Answer 8

Expert Solution & Answer

To determine

Whether the statement “We can divide −4x3+5x2+10x−3 by x2−2 using synthetic division” is true or false.

Answer to Problem 1E

The statement is false.

Explanation of Solution

Notice that synthetic division is used to find a quotient and remainder when dividing a polynomial of degree 1 or higher, by an expression of the form x−c. IT is a version of long division.

Note that, synthetic division can be used only when the divisor is linear and is of the form x−c.

The divisor x2−2 is a second degree polynomial and hence cannot be used in synthetic division.

Therefore, the given statement is false.

Answer 9

Expert Solution & Answer

Answer 10

Expert Solution & Answer

Answer 11

To determine

Whether the statement “We can divide −4x3+5x2+10x−3 by x2−2 using synthetic division” is true or false.

Answer 12

Answer to Problem 1E

The statement is false.

Answer 13

Explanation of Solution

Notice that synthetic division is used to find a quotient and remainder when dividing a polynomial of degree 1 or higher, by an expression of the form x−c. IT is a version of long division.

Note that, synthetic division can be used only when the divisor is linear and is of the form x−c.

The divisor x2−2 is a second degree polynomial and hence cannot be used in synthetic division.

Therefore, the given statement is false.