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arsen [322]
2 years ago
9

Use synthetic division to determine the remainder when 3x 3 − 2x 2 + x − 1 is divided by x − 1.

Mathematics
1 answer:
dolphi86 [110]2 years ago
3 0

Answer:

  1

Step-by-step explanation:

The synthetic division tableau and instructions for its use are shown in the attachment. The number at top left (1) is the zero of the divisor, the opposite of the constant -1.

__

<em>Additional comment</em>

Essentially, you're evaluating the function for x=1. The synthetic division is a long way to get the sum of coefficients, which is what the function value is when x=1.

  3 -2 +1 -1 = 1

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Evaluate the expression: a(b – c) if a = -8, b = 12, and c = 4
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Answer:

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Step-by-step explanation:

a(b - c)

a = -8

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So, you'd plug in those numbers:

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You'd start within the parenthesis's, so:

(12 - 4), which equals (8)

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(2*2)^2-(3+(2*2)/(6-4) EXPLAINED PLEASE
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PEMDAS is an acronym that refers to the sequence of operations to be employed when solving equations with multiple operations. The solution of the given expression (2×2)² - [3+(2×2)]/(6-4) is 14.

<h3>What is PEMDAS?</h3>

PEMDAS is an acronym that refers to the sequence of operations to be employed when solving equations with multiple operations. PEMDAS is an acronym that stands for P-Parenthesis, E-Exponents, M-Multiplication, D-Division, A-Addition, and S-Subtraction.

As per the rule of PEMDAS, the given expression can be simplified as shown below.

(2×2)² - [3+(2×2)]/(6-4)

Step 1: Solving Parenthesis,

= 4² - (3+4) / (2)

= 4² - 4/2

Step 2: Solving exponents,

= 16 - 4/2

Step 3: Solving Divisions,

= 16 - 2

Step 4: Solving Subtraction,

= 14

Hence, the solution of the given expression (2×2)² - [3+(2×2)]/(6-4) is 14.

Learn more about PEMDAS here:

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Step-by-step explanation:

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