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Answer :
Sure, let's solve the polynomial expression step-by-step:
The polynomial given is:
[tex]\[ 14x^3 - 19x^2 - 8x \][/tex]
Let's break it down step by step:
1. Identify the terms in the polynomial:
- The first term is [tex]\( 14x^3 \)[/tex].
- The second term is [tex]\( -19x^2 \)[/tex].
- The third term is [tex]\( -8x \)[/tex].
2. Look at the degrees of each term:
- The first term [tex]\( 14x^3 \)[/tex] has a degree of 3.
- The second term [tex]\( -19x^2 \)[/tex] has a degree of 2.
- The third term [tex]\( -8x \)[/tex] has a degree of 1.
3. Combine the terms (if there are any like terms):
- In this polynomial, there are no like terms to combine since all the terms have different degrees.
4. Express the polynomial in standard form:
- The standard form of the polynomial is written as [tex]\( 14x^3 - 19x^2 - 8x \)[/tex].
So, the final polynomial expression is:
[tex]\[ 14x^3 - 19x^2 - 8x \][/tex]
This matches the result we identified, which is:
[tex]\[ \text{Poly}(14x^3 - 19x^2 - 8x, x, \text{domain='ZZ'}) \][/tex]
This completes the detailed solution for the given polynomial expression.
The polynomial given is:
[tex]\[ 14x^3 - 19x^2 - 8x \][/tex]
Let's break it down step by step:
1. Identify the terms in the polynomial:
- The first term is [tex]\( 14x^3 \)[/tex].
- The second term is [tex]\( -19x^2 \)[/tex].
- The third term is [tex]\( -8x \)[/tex].
2. Look at the degrees of each term:
- The first term [tex]\( 14x^3 \)[/tex] has a degree of 3.
- The second term [tex]\( -19x^2 \)[/tex] has a degree of 2.
- The third term [tex]\( -8x \)[/tex] has a degree of 1.
3. Combine the terms (if there are any like terms):
- In this polynomial, there are no like terms to combine since all the terms have different degrees.
4. Express the polynomial in standard form:
- The standard form of the polynomial is written as [tex]\( 14x^3 - 19x^2 - 8x \)[/tex].
So, the final polynomial expression is:
[tex]\[ 14x^3 - 19x^2 - 8x \][/tex]
This matches the result we identified, which is:
[tex]\[ \text{Poly}(14x^3 - 19x^2 - 8x, x, \text{domain='ZZ'}) \][/tex]
This completes the detailed solution for the given polynomial expression.
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Rewritten by : Barada