What is the standard form of a polynomial $(4 x^{2} + 2 x + 5) + (7 x^{2} - 5 x + 2)$ $(4x^2+2x+5)+(7x^2-5x+2)$ ?

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What is the standard form of a polynomial $(4 x^{2} + 2 x + 5) + (7 x^{2} - 5 x + 2)$ $(4x^2+2x+5)+(7x^2-5x+2)$ ?

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Answer 1 · 2016-07-10T15:36:02

The standard form would be $11 x^{2} - 3 x + 7$ $11x^2 - 3x + 7$ .

Explanation:

Polynomial standard form simply means that you place the highest degree terms first, and simplify the polynomial by adding any coefficients in terms of the same degree. As a result you get:

$(4 x^{2} + 2 x + 5) + (7 x^{2} - 5 x + 2)$ $(4x^2+2x+5)+(7x^2-5x+2)$
$= (4 + 7) x^{2} + (2 - 5) x + (5 + 2)$ $= (4+7)x^2 + (2-5)x + (5+2)$
$= 11 x^{2} - 3 x + 7$ $= 11x^2 - 3x + 7$

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What is the standard form of a polynomial $(4 x^{2} + 2 x + 5) + (7 x^{2} - 5 x + 2)$ $(4x^2+2x+5)+(7x^2-5x+2)$ ?

1 Answer

Explanation:

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What is the standard form of a polynomial $(4 x^{2} + 2 x + 5) + (7 x^{2} - 5 x + 2)$ $(4x^2+2x+5)+(7x^2-5x+2)$ ?