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1. simplify and write in standard form. then, classify the polynomial by degree and number of terms.

(5x^3 + 3x^2 - 7x + 10) - (3x^3 - x2 + 4x - 1)

is it 2x^3+4x^2-11x+11

2 Answers

2 votes
Yes, the answer is 2x^3+4x^2-11+11

User Touts
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Answer:

The Standard form of a polynomial is in the form of:


a_nx^n+a_(n-1)x^(n-1)+.....+a_2x^2+a_1x+a_0

i.e, the highest exponent goes first until the last term with the lowest exponent.

Degree of a polynomial is the highest exponent, and the coefficient of this term is the leading coefficient. The constant term is the one without an x variable.

Simplify:
(5x^3 + 3x^2 - 7x + 10) - (3x^3 - x^2 + 4x - 1)

Remove the parentheses we get;


5x^3 + 3x^2 - 7x + 10 - 3x^3 + x^2 - 4x + 1

Combine like terms, we get;


2x^3 + 4x^2 - 11x + 11

Standard form of a polynomial =
2x^3 + 4x^2 - 11x + 11 [descending exponent ]

Degree of a polynomial(i.,e highest exponent is from
2x^3) is, 3

Number of terms = 4 .


User Digiliooo
by
8.2k points

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