Answer :
To find the product [tex]\((4x)(-3x^8)(-7x^3)\)[/tex], follow these steps:
1. Calculate the Product of the Coefficients:
- Multiply the numerical coefficients of each term: [tex]\(4\)[/tex], [tex]\(-3\)[/tex], and [tex]\(-7\)[/tex].
- [tex]\[4 \times (-3) \times (-7) = 12 \times 7 = 84\][/tex]
2. Combine the x Terms:
- For the powers of [tex]\(x\)[/tex], you add the exponents. The exponents here are [tex]\(1\)[/tex], [tex]\(8\)[/tex], and [tex]\(3\)[/tex].
- Add these exponents together: [tex]\(1 + 8 + 3 = 12\)[/tex].
3. Form the Final Product:
- Combine the coefficient and the [tex]\(x\)[/tex] terms: [tex]\(84x^{12}\)[/tex].
So, the product of [tex]\((4x)(-3x^8)(-7x^3)\)[/tex] is [tex]\(84x^{12}\)[/tex].
The correct answer is [tex]\(84x^{12}\)[/tex].
1. Calculate the Product of the Coefficients:
- Multiply the numerical coefficients of each term: [tex]\(4\)[/tex], [tex]\(-3\)[/tex], and [tex]\(-7\)[/tex].
- [tex]\[4 \times (-3) \times (-7) = 12 \times 7 = 84\][/tex]
2. Combine the x Terms:
- For the powers of [tex]\(x\)[/tex], you add the exponents. The exponents here are [tex]\(1\)[/tex], [tex]\(8\)[/tex], and [tex]\(3\)[/tex].
- Add these exponents together: [tex]\(1 + 8 + 3 = 12\)[/tex].
3. Form the Final Product:
- Combine the coefficient and the [tex]\(x\)[/tex] terms: [tex]\(84x^{12}\)[/tex].
So, the product of [tex]\((4x)(-3x^8)(-7x^3)\)[/tex] is [tex]\(84x^{12}\)[/tex].
The correct answer is [tex]\(84x^{12}\)[/tex].
