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sammy [17]
3 years ago
9

Written as a simplified polynomial in standard form, what is the result when (3x+7)^2 is subtracted from 3?

Mathematics
1 answer:
nadezda [96]3 years ago
7 0

Given:

(3x+7)^2 is subtracted from 3.

To find:

The result of the given statement in the standard form of the polynomial.

Solution:

We need to find the result when (3x+7)^2 is subtracted from 3.

So, the resulted polynomial can be written as:

P(x)=3-(3x+7)^2

On simplification, we get

P(x)=3-((3x)^2+2(3x)(7)+(7)^2)               [\because (a+b)^2=a^2+2ab+b^2]

P(x)=3-(9x^2+42x+49)

P(x)=3-9x^2-42x-49

P(x)=-9x^2-42x-46

Therefore, the resulted polynomial in standard form is -9x^2-42x-46.

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