What is the standard form of y=(x+5)(4x-7)?

Heath Gilmore

Heath Gilmore

Answered question

2022-02-02

What is the standard form of y=(x+5)(4x-7)?

Answer & Explanation

Anahi Pearson

Anahi Pearson

Beginner2022-02-03Added 16 answers

Explanation:
The "standard form" of a polynomial refers to its order. In standard form, terms are listed in order of descending degree.
Degree refers to the sum of the exponents in a single term. For example, the degree of 12x5 is 5, since that is its only exponent. The degree of 3x2y is 3 because the x is raised to the 2 and the y is raised to the 1, and 2+1=3.
Any constant, like 11, has a degree of 0 because it can technically be written as 11x0 since x0=1.
In (x+5)(4x+7), we first have to distribute all of the terms. This leaves us with 4x2+7x+20x+35, which simplifies to be 4x2+27x+35.
Now, all we have to do is make sure we are in standard form. The degrees, as they are currently listed, go in the order 210, which is in descending order. Therefore, the polynomial in standard form is 4x2+27x+35.

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