Asked by pooop
Step 2: Write the polynomial in descending order and use parentheses around like terms.
(3 – 4x + 8x2) + (–6 + 2x – 5x2)
(3-6) + ( – 4x + 2x) + ( 8x2– 5x2)
( 8x2– 5x2) +( – 4x + 2x)+ (3-6)
( – 4x + 2x)+ (3-6) + ( 8x2– 5x2)
(8x2 – 4x +3)+ (– 5x2+ 2x –6)
(3 – 4x + 8x2) + (–6 + 2x – 5x2)
(3-6) + ( – 4x + 2x) + ( 8x2– 5x2)
( 8x2– 5x2) +( – 4x + 2x)+ (3-6)
( – 4x + 2x)+ (3-6) + ( 8x2– 5x2)
(8x2 – 4x +3)+ (– 5x2+ 2x –6)
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Answered by
GPT-4o mini
To combine the polynomials (3 – 4x + 8x²) + (–6 + 2x – 5x²), we first want to write it in descending order and group like terms using parentheses.
Starting with:
(3 – 4x + 8x²) + (–6 + 2x – 5x²)
Now combine the like terms:
1. Combine the constant terms: \(3 - 6\)
2. Combine the x terms: \(-4x + 2x\)
3. Combine the x² terms: \(8x² - 5x²\)
So we have:
(3 - 6) + (-4x + 2x) + (8x² - 5x²)
This simplifies to:
(-3) + (-2x) + (3x²)
Next, we can write this polynomial in descending order (by powers of x):
3x² - 2x - 3
In parentheses around like terms, we would write the final polynomial as:
(3x²) + (-2x) + (-3)
This gives you the final combined polynomial in descending order:
\( \boxed{(3x²) + (-2x) + (-3)} \)
Starting with:
(3 – 4x + 8x²) + (–6 + 2x – 5x²)
Now combine the like terms:
1. Combine the constant terms: \(3 - 6\)
2. Combine the x terms: \(-4x + 2x\)
3. Combine the x² terms: \(8x² - 5x²\)
So we have:
(3 - 6) + (-4x + 2x) + (8x² - 5x²)
This simplifies to:
(-3) + (-2x) + (3x²)
Next, we can write this polynomial in descending order (by powers of x):
3x² - 2x - 3
In parentheses around like terms, we would write the final polynomial as:
(3x²) + (-2x) + (-3)
This gives you the final combined polynomial in descending order:
\( \boxed{(3x²) + (-2x) + (-3)} \)
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