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Simplifying and Evaluating Polynomials with More than One Term

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The examples so far have been limited to expressions such as 5x<sup>4</sup> + 3x<sup>3</sup> – 6x<sup>2</sup> + 2x containing one ... An example of a polynomial with two variables is 4x<sup>2</sup>y – 2xy <sup>2</sup> + x – 7. .... In this case, 7x<sup>2</sup>y – 3xy<sup>3</sup> + 2x is a fourth degree polynomial. ... The polynomial 3xy<sup>3</sup>z<sup>2</sup> + 5xy<sup>3</sup>z<sup>2</sup> + 6x<sup>2</sup>y<sup>3</sup>z has like terms that can be combined.

Classifying Polynomials - SoftSchools

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For example: 2y<sup>5</sup>+ 7y<sup>3</sup>- 5y<sup>2</sup>+9y-2 ... 3x<sup>2</sup>-3x+1 3. 5y-10 4. 8xy 5. 3x<sup>4</sup>+x<sup>2</sup>-5x+9. Answers: 1) Monomial 2) Trinomial 3) Binomial 4) Monomial 5) Polynomial 2. Degree. The degree of the polynomial is found by looking at the term with the highest ...

Degree of a polynomial - Basic mathematics

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This polynomial has seven terms. The first one is 2y<sup>2</sup>, the second is 1y<sup>5</sup>, the third is -3y<sup>4</sup>, the fourth is 7y<sup>3</sup>, the fifth is 9y<sup>2</sup>, the sixth is y, and the seventh is 6

1. What is the degree of the monomial 3x2y3?

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Jan 28, 2013 ... 3. What is the simplified form of (4j2 + 6) + (2j2 – 3) ? (1 point) (0) 6j2 – 3 (1) 6j2 + 3 (0) 6j2 + 9 (0) 4j4 + 3 4. What is the difference of the following polynomials? ( 6x3 – 2x2 + ... Algebra - 1) what is the degree of the monomial 3x^2y^3 A)2 B)3 C )5 D)6 2. ... What is the simplified form of (–3x^3y^2)(5xy^–1)? I ...

SOLUTION: 3. a. what type of polynomial is 2x + 5? b. what type of ...

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Algebra -> Polynomials-and-rational-expressions -> SOLUTION: 3. a. what type of polynomial is 2x + 5? ... c. what is the degree of the polynomial: 3x^2y + 5xy?

Degree (of an Expression) - Math is Fun

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The Degree (for a polynomial with one variable, like x) is: ... 5xy<sup>2</sup> has a degree of 3 (x has an exponent of 1, y has 2, and 1+2=3); 3x has a degree of 1 (x has an ...

Degree of Polynomial. It's very easy to determine the degree of a ...

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Problem 1. What is the degree of the following polynomial x<sup>2</sup> + x + 3? ... The slope of a vertical line is undefined. x + 3 = 3x. TRUE. FALSE. 1. 2. 3. 4. 5. 6. 7. 8. 9.

7.5 - The Binomial Theorem

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A binomial is a polynomial with two terms. ... (x+y)<sup>5</sup> = x<sup>5</sup> + 5x<sup>4</sup>y + 10x<sup>3</sup>y<sup>2</sup> +10x<sup>2</sup>y <sup>3</sup> + 5xy<sup>4</sup> + y<sup>5</sup> ... There are n+1 terms in the expansion of (x+y)<sup>n</sup>; The degree of each term is n; The powers on x begin with n and decrease to 0; The ... 1(243x<sup>5</sup>)( 1) + 5(81x<sup>4</sup>)(-2y) + 10(27x<sup>3</sup>)(4y<sup>2</sup>) + 10(9x<sup>2</sup>)(-8y<sup>3</sup>) + 5(3x)(16y<sup>4</sup>) + 1(1)(-32y<sup>5</sup>).

Polynomial functions - Topics in precalculus - The Math Page

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This term 2xy<sup>2</sup>z<sup>3</sup> is of degree 1 + 2 + 3 = 6 in the variables x, y, and z. ... the degree, the leading coefficient, and the constant term of (5x + 1)(3x − 1)(2x + 5)<sup>3</sup>.

Common factor - A complete course in algebra - The Math Page

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How to factor a polynomial whose terms have a common factor. ... If we begin 30 = 5· 6, we still obtain -- apart from the order -- 5· 2· 3. Problem 1. Factor 50. To see the ... Factor 3x − 3y. 3x − 3y = 3(x − y) ... The degree of a polynomial is the highest exponent. ... b) 3y<sup>2</sup> + 2y + 1 A polynomial in y of the 2nd degree. c) x + 2 A ...