Write the polynomial $5 x^{3} - 6 x + 4 x^{2} + 8$ in standard form.

5 x^{3} - 6 x + 4 x^{2} + 8

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5 x^{3} + 4 x^{2} - 6 x + 8

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5 x^{3} - 6 x + 8 + 4 x^{2}

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5 x^{3} + 8 + 4 x^{2} - 6 x

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Solution

The correct option is B $5 x^{3} + 4 x^{2} - 6 x + 8$
We are given with a polynomial expression $5 x^{3} - 6 x + 4 x^{2} + 8$ .

The term $5 x^{3}$ has the highest exponent of the variable $x$ , i.e., $3$ . This term would be the first term in standard form of a polynomial.

The term $4 x^{2}$ has the second highest exponent of the variable $x$ , i.e., $2$ . This term would be the second term in standard form of a polynomial.

The term $- 6 x$ has the third highest exponent of the variable $x$ , i.e., $1$ . This term would be the third term in standard form of a polynomial.

The term $8$ has the fourth highest exponent of the variable $x$ , i.e., $0$ . This term would be the fourth term in standard form of a polynomial.

The standard form of the polynomial expression $5 x^{3} - 6 x + 4 x^{2} + 8$ can be written as:
$5 x^{3} + 4 x^{2} - 6 x + 8$

Therefore, option (b.) is the correct answer.

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