(2x7 + 7x4 + 6) - (2x4 - x)= _____A.2x7 + 9x4 - x + 6B.6x3 + 6C.2x7 + 5x4 + x + 6D.4x11 + 6x3 +6
Question
(2x7 + 7x4 + 6) - (2x4 - x)=
A. 2x7 + 9x4 - x + 6
B. 6x3 + 6
C. 2x7 + 5x4 + x + 6
D. 4x11 + 6x3 + 6
Solution
To subtract one polynomial from another, you subtract like terms. Like terms are terms that have the same variable and exponent.
The given polynomials are (2x^7 + 7x^4 + 6) and (2x^4 - x).
Subtract the second polynomial from the first:
2x^7 + 7x^4 + 6 - (2x^4 - x)
Distribute the negative sign to each term in the second polynomial:
2x^7 + 7x^4 + 6 - 2x^4 + x
Combine like terms:
2x^7 + (7x^4 - 2x^4) + 6 + x
This simplifies to:
2x^7 + 5x^4 + x + 6
So, the answer is C. 2x^7 + 5x^4 + x + 6.
Similar Questions
(2x7 + 7x4 + 6) - (2x4 - x)= _____A.2x7 + 9x4 - x + 6B.6x3 + 6C.2x7 + 5x4 + x + 6D.4x11 + 6x3 +6
Add (6x2 – 3x) + (5x – 7).A.3x2 – 2xB.6x2 + 2x – 7C.6x2 – 2x – 7D.6x2 + 8x – 7SUBMITarrow_backPREVIOUS
(-x3 + 3x2 + 3) + (3x2 + x + 4)= A.-x3 + 6x2 + x + 7B.2x5 - x + 7C.-x3 + 9x2 + x + 7D.2x6 + x + 7
Write an expression for the sequence of operations described below.multiply the product of 4 and d by 7
Answer the following:1. a⁴ · a² · a =2. x² · x⁵ =3. (5x²) (-3x⁴) =4. (x²)⁴ =5. (c⁴)³ =6. (ab)³ =7. (-2x²)³ =8. (4m²n)² =9. (y⁵)² =10. (5x³y²)² =
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.