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Polynomial Operations — Easy Worksheet 1
Grade 9 · MathSheets Name: ____________________ Date: __________
Simplify each expression.
How to solve
For subtraction, first change the sign of every term in the second parentheses. Then combine like terms: add the x² coefficients together and the x coefficients together. Write the answer with the x² term first.
Example
Simplify: (4x² + x) + (x² + 3x)
Answer: 5x² + 4x
Not quite. The answer is
💡 Add the like terms. x² terms: 4 + 3 = 7, giving 7x². x terms: 3 + 1 = 4, giving 4x. So the answer is 7x² + 4x.
✓ Correct!
Not quite. The answer is
💡 Add the like terms. x² terms: 4 + 3 = 7, giving 7x². x terms: 3 + 1 = 4, giving 4x. So the answer is 7x² + 4x.
💡 How to solve: Polynomial Operations
For subtraction, first change the sign of every term in the second parentheses. Then combine like terms: add the x² coefficients together and the x coefficients together. Write the answer with the x² term first.
Try a similar one
Simplify: (3x² + 2x) - (x² + 3x)
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
Not quite. The answer is
💡 Subtract the like terms: take away each coefficient of the second polynomial from the matching one in the first. x² terms: 3 − 4 = −1, giving −x². x terms: 3 − 4 = −1, giving −x. So the answer is −x² − x.
✓ Correct!
Not quite. The answer is
💡 Subtract the like terms: take away each coefficient of the second polynomial from the matching one in the first. x² terms: 3 − 4 = −1, giving −x². x terms: 3 − 4 = −1, giving −x. So the answer is −x² − x.
💡 How to solve: Polynomial Operations
For subtraction, first change the sign of every term in the second parentheses. Then combine like terms: add the x² coefficients together and the x coefficients together. Write the answer with the x² term first.
Try a similar one
Simplify: (x² + 2x) - (2x² + 4x)
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
Not quite. The answer is
💡 Add the like terms. x² terms: 3 + 2 = 5, giving 5x². x terms: 1 + 2 = 3, giving 3x. So the answer is 5x² + 3x.
✓ Correct!
Not quite. The answer is
💡 Add the like terms. x² terms: 3 + 2 = 5, giving 5x². x terms: 1 + 2 = 3, giving 3x. So the answer is 5x² + 3x.
💡 How to solve: Polynomial Operations
For subtraction, first change the sign of every term in the second parentheses. Then combine like terms: add the x² coefficients together and the x coefficients together. Write the answer with the x² term first.
Try a similar one
Simplify: (x² + 3x) + (4x² + 4x)
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
Not quite. The answer is
💡 Add the like terms. x² terms: 1 + 2 = 3, giving 3x². x terms: 4 + 4 = 8, giving 8x. So the answer is 3x² + 8x.
✓ Correct!
Not quite. The answer is
💡 Add the like terms. x² terms: 1 + 2 = 3, giving 3x². x terms: 4 + 4 = 8, giving 8x. So the answer is 3x² + 8x.
💡 How to solve: Polynomial Operations
For subtraction, first change the sign of every term in the second parentheses. Then combine like terms: add the x² coefficients together and the x coefficients together. Write the answer with the x² term first.
Try a similar one
Simplify: (x² + 2x) + (2x² + 3x)
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
Not quite. The answer is
💡 Subtract the like terms: take away each coefficient of the second polynomial from the matching one in the first. x² terms: 4 − 2 = 2, giving 2x². x terms: 3 − 3 = 0, so they cancel. So the answer is 2x².
✓ Correct!
Not quite. The answer is
💡 Subtract the like terms: take away each coefficient of the second polynomial from the matching one in the first. x² terms: 4 − 2 = 2, giving 2x². x terms: 3 − 3 = 0, so they cancel. So the answer is 2x².
💡 How to solve: Polynomial Operations
For subtraction, first change the sign of every term in the second parentheses. Then combine like terms: add the x² coefficients together and the x coefficients together. Write the answer with the x² term first.
Try a similar one
Simplify: (2x² + 2x) - (3x² + 3x)
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
Not quite. The answer is
💡 Subtract the like terms: take away each coefficient of the second polynomial from the matching one in the first. x² terms: 2 − 1 = 1, giving x². x terms: 2 − 4 = −2, giving −2x. So the answer is x² − 2x.
✓ Correct!
Not quite. The answer is
💡 Subtract the like terms: take away each coefficient of the second polynomial from the matching one in the first. x² terms: 2 − 1 = 1, giving x². x terms: 2 − 4 = −2, giving −2x. So the answer is x² − 2x.
💡 How to solve: Polynomial Operations
For subtraction, first change the sign of every term in the second parentheses. Then combine like terms: add the x² coefficients together and the x coefficients together. Write the answer with the x² term first.
Try a similar one
Simplify: (3x² + 4x) - (2x² + 3x)
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
Not quite. The answer is
💡 Add the like terms. x² terms: 3 + 2 = 5, giving 5x². x terms: 3 + 2 = 5, giving 5x. So the answer is 5x² + 5x.
✓ Correct!
Not quite. The answer is
💡 Add the like terms. x² terms: 3 + 2 = 5, giving 5x². x terms: 3 + 2 = 5, giving 5x. So the answer is 5x² + 5x.
💡 How to solve: Polynomial Operations
For subtraction, first change the sign of every term in the second parentheses. Then combine like terms: add the x² coefficients together and the x coefficients together. Write the answer with the x² term first.
Try a similar one
Simplify: (x² + 2x) - (4x² + 2x)
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
Not quite. The answer is
💡 Subtract the like terms: take away each coefficient of the second polynomial from the matching one in the first. x² terms: 3 − 2 = 1, giving x². x terms: 4 − 3 = 1, giving x. So the answer is x² + x.
✓ Correct!
Not quite. The answer is
💡 Subtract the like terms: take away each coefficient of the second polynomial from the matching one in the first. x² terms: 3 − 2 = 1, giving x². x terms: 4 − 3 = 1, giving x. So the answer is x² + x.
💡 How to solve: Polynomial Operations
For subtraction, first change the sign of every term in the second parentheses. Then combine like terms: add the x² coefficients together and the x coefficients together. Write the answer with the x² term first.
Try a similar one
Simplify: (4x² + 2x) - (2x² + 3x)
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
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Polynomial Operations — Easy Worksheet 1
Simplify each expression.