What is the result of adding $(7x^8 + 3x^7 + 5x^6 + 4)$ and $(7x^8 + 5x^7 - 7x^6 + 2)$?

1) $9x^8 + 9x^7 + 9x^6 + 10$
2) $14x^{16} + 8x^{14} - 2x^{12} + 6$
3) $20x^{42} + 6$
4) $14x^8 + 8x^7 - 2x^6 + 6$

Question

26-10-2024
Mathematics

High School

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What is the result of adding $(7x^8 + 3x^7 + 5x^6 + 4)$ and $(7x^8 + 5x^7 - 7x^6 + 2)$?

1) $9x^8 + 9x^7 + 9x^6 + 10$
2) $14x^{16} + 8x^{14} - 2x^{12} + 6$
3) $20x^{42} + 6$
4) $14x^8 + 8x^7 - 2x^6 + 6$

Answer :

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crossword, help me please

samayetaghosal5555 samayetaghosal5555 · Answer 1 · 2024-05-11T04:58:58-04:00

The sum of the polynomials (7x⁸+3x⁷+5x⁶+4) and (7x⁸+5x⁷-7x⁶+2) is 14x⁸+8x⁷-2x⁶+6(4), found by combining like terms and adding their respective coefficients.

The result of adding the two given polynomials (7x⁸+3x⁷+5x⁶+4) and (7x⁸+5x⁷-7x⁶+2) is done by combining like terms. To do this, we simply find the terms with the same exponent and add their coefficients:

Add the coefficients of x⁸ terms: 7 + 7 = 14, so we get 14x⁸.
Add the coefficients of x⁷ terms: 3 + 5 = 8, resulting in 8x⁷.
Add the coefficients of x⁶ terms: 5 - 7 = -2, resulting in -2x⁶.
Add the constant terms: 4 + 2 = 6.

Putting it all together, we obtain the answer 14x⁸+8x⁷-2x⁶+6.

What is the result of adding \((7x^8 + 3x^7 + 5x^6 + 4)\) and \((7x^8 + 5x^7 - 7x^6 + 2)\)?1) \(9x^8 + 9x^7 + 9x^6 + 10\) 2) \(14x^{16} + 8x^{14} - 2x^{12} + 6\) 3) \(20x^{42} + 6\) 4) \(14x^8 + 8x^7 - 2x^6 + 6\)

Answer :

Other Questions

What is the result of adding \((7x^8 + 3x^7 + 5x^6 + 4)\) and \((7x^8 + 5x^7 - 7x^6 + 2)\)?

1) \(9x^8 + 9x^7 + 9x^6 + 10\)
2) \(14x^{16} + 8x^{14} - 2x^{12} + 6\)
3) \(20x^{42} + 6\)
4) \(14x^8 + 8x^7 - 2x^6 + 6\)