Question

FILL IN THE BLANKS: Given P(x) = 3x5 + 7x6 + 11x7 – 12x - 10

Answer 1

The polynomial  $3x^5 + 7x^6 + 11x^7 - 12x - 10$ is in standard form if the exponents are arranged in decreasing order.

Polynomial in Standard Form

Polynomial is an algebraic expression with one or more terms. For example :$2x^3+6x^4+x^2+x+2$. In this example and in your exercise the exponents of the terms are not arranged in order.

Um polynomial is in Standard Form when the exponents of the terms are in decreasing order. See more details below.

$2x^3+6x^4+x^2+x+2$is not in standard form because the exponents are not written in decreasing order.

$6x^4+2x^3++x^2+x+2$ is in standard form because the exponents are written in decreasing order.

Therefore, the given polynomial will be in standard form if yours exponents are arranged in decreasing order.

Read more about polynomials here:

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