Question

Which polynomial correctly combines the like terms and puts the given polynomial in standard form? one-thirdx 8x4 – two-thirdsx2 – x 8x4 – one-thirdx2 – x 8x4 two-thirdsx2 two-thirdsx 8x4 – two-thirdsx2 – two-thirdsx 8x4 – two-thirdsx2 – x.

Answer 1

Polynomial equation is a equation which is formed with coefficients variables and exponents with basic mathematics operation and equality sign. From the given option the option C correctly combines the like terms and puts the given polynomial in standard form which is,

$8x^4-\dfrac{2}{3}x^2-\dfrac{2x}{3}$

Hence the option C is the correct option.

Given information-

The given polynomial equation in the problem is,

$\dfrac{1}{3} x+8x^4-\dfrac{2}{3}x^2-x$

Polynomial equation

Polynomial equation is a equation which is formed with coefficients variables and exponents with basic mathematics operation and equality sign.

In the above polynomial equation the variable are x and the highest power of the variable x is four.

Arrange the given polynomial equation in the power of the variable x. Thus,

$8x^4-\dfrac{2}{3}x^2+\dfrac{1}{3} x-x$

Make the group of the same power of the variable x. Therefore,

$8x^4-\dfrac{2}{3}x^2+(\dfrac{1}{3} x-x)$

$8x^4-\dfrac{2}{3}x^2+\dfrac{x-3x}{3}$

$8x^4-\dfrac{2}{3}x^2-\dfrac{2x}{3}$

From the given option the option C correctly combines the like terms and puts the given polynomial in standard form which is,

$8x^4-\dfrac{2}{3}x^2-\dfrac{2x}{3}$

Hence the option C is the correct option.

Learn more about the polynomial equation  here;

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