M3 Unit 3.4 - 3.6 Review

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What is synthetic division?

Back

Synthetic division is a simplified method of dividing a polynomial by a linear binomial of the form (x - c). It is faster than long division and is used primarily for polynomials.

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What is the remainder in synthetic division?

Back

The remainder is the value left over after dividing a polynomial by a divisor. In synthetic division, it can be found directly from the process.

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What is Pascal's Triangle?

Back

Pascal's Triangle is a triangular array of the binomial coefficients. Each number is the sum of the two directly above it, and it is used to find coefficients in binomial expansions.

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How do you find the next row in Pascal's Triangle?

Back

To find the next row, start and end with 1. Each interior number is the sum of the two numbers above it from the previous row.

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What is the standard form of a polynomial?

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The standard form of a polynomial is expressed in descending order of the degree of its terms, typically written as a_n*x^n + a_(n-1)*x^(n-1) + ... + a_1*x + a_0.

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What is the distributive property?

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The distributive property states that a(b + c) = ab + ac. It allows you to multiply a single term by two or more terms inside a parenthesis.

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What is the formula for factoring a quadratic equation?

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The quadratic formula is x = (-b ± √(b² - 4ac)) / (2a), used to find the roots of the equation ax² + bx + c = 0.

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What does it mean to simplify an expression?

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To simplify an expression means to reduce it to its simplest form, combining like terms and eliminating unnecessary parentheses.

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What is a polynomial?

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A polynomial is a mathematical expression consisting of variables, coefficients, and non-negative integer exponents, combined using addition, subtraction, and multiplication.

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What is the significance of the coefficients in a polynomial?

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Coefficients are the numerical factors in a polynomial that multiply the variable terms. They determine the shape and position of the polynomial's graph.