Or press and hold the picture and choose “Save image”.
for Whoobee's shop
Polynomial Multiplication — Easy Worksheet 2
Grade 11 · MathSheets Name: ____________________ Date: __________
Expand each expression.
How to solve
Use FOIL: (ax + b)(cx + d) = acx² + (ad + bc)x + bd. Multiply the First terms, then add the Outer and Inner products for the middle term, then multiply the Last terms.
Example
Expand: (5x + 2)(x + 4)
Answer: 5x² + 22x + 8
Not quite. The answer is
💡 Use FOIL. First: 4x · x = 4x². Outer: 4x · 2 = 8x. Inner: 1 · x = x. Last: 1 · 2 = 2. Combine the x terms: 8 + 1 = 9. The answer is 4x² + 9x + 2.
✓ Correct!
Not quite. The answer is
💡 Use FOIL. First: 4x · x = 4x². Outer: 4x · 2 = 8x. Inner: 1 · x = x. Last: 1 · 2 = 2. Combine the x terms: 8 + 1 = 9. The answer is 4x² + 9x + 2.
💡 How to solve: Polynomial Multiplication
Use FOIL: (ax + b)(cx + d) = acx² + (ad + bc)x + bd. Multiply the First terms, then add the Outer and Inner products for the middle term, then multiply the Last terms.
Try a similar one
Expand: (2x + 1)(4x + 4)
✓ 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
💡 Use FOIL. First: 4x · x = 4x². Outer: 4x · 1 = 4x. Inner: 2 · x = 2x. Last: 2 · 1 = 2. Combine the x terms: 4 + 2 = 6. The answer is 4x² + 6x + 2.
✓ Correct!
Not quite. The answer is
💡 Use FOIL. First: 4x · x = 4x². Outer: 4x · 1 = 4x. Inner: 2 · x = 2x. Last: 2 · 1 = 2. Combine the x terms: 4 + 2 = 6. The answer is 4x² + 6x + 2.
💡 How to solve: Polynomial Multiplication
Use FOIL: (ax + b)(cx + d) = acx² + (ad + bc)x + bd. Multiply the First terms, then add the Outer and Inner products for the middle term, then multiply the Last terms.
Try a similar one
Expand: (2x + 1)(x + 3)
✓ 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
💡 Use FOIL. First: 5x · 5x = 25x². Outer: 5x · 5 = 25x. Inner: 2 · 5x = 10x. Last: 2 · 5 = 10. Combine the x terms: 25 + 10 = 35. The answer is 25x² + 35x + 10.
✓ Correct!
Not quite. The answer is
💡 Use FOIL. First: 5x · 5x = 25x². Outer: 5x · 5 = 25x. Inner: 2 · 5x = 10x. Last: 2 · 5 = 10. Combine the x terms: 25 + 10 = 35. The answer is 25x² + 35x + 10.
💡 How to solve: Polynomial Multiplication
Use FOIL: (ax + b)(cx + d) = acx² + (ad + bc)x + bd. Multiply the First terms, then add the Outer and Inner products for the middle term, then multiply the Last terms.
Try a similar one
Expand: (2x + 4)(3x + 2)
✓ 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
💡 Use FOIL. First: 3x · 4x = 12x². Outer: 3x · 3 = 9x. Inner: 2 · 4x = 8x. Last: 2 · 3 = 6. Combine the x terms: 9 + 8 = 17. The answer is 12x² + 17x + 6.
✓ Correct!
Not quite. The answer is
💡 Use FOIL. First: 3x · 4x = 12x². Outer: 3x · 3 = 9x. Inner: 2 · 4x = 8x. Last: 2 · 3 = 6. Combine the x terms: 9 + 8 = 17. The answer is 12x² + 17x + 6.
💡 How to solve: Polynomial Multiplication
Use FOIL: (ax + b)(cx + d) = acx² + (ad + bc)x + bd. Multiply the First terms, then add the Outer and Inner products for the middle term, then multiply the Last terms.
Try a similar one
Expand: (5x + 5)(x + 3)
✓ 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
💡 Use FOIL. First: 5x · x = 5x². Outer: 5x · 5 = 25x. Inner: 5 · x = 5x. Last: 5 · 5 = 25. Combine the x terms: 25 + 5 = 30. The answer is 5x² + 30x + 25.
✓ Correct!
Not quite. The answer is
💡 Use FOIL. First: 5x · x = 5x². Outer: 5x · 5 = 25x. Inner: 5 · x = 5x. Last: 5 · 5 = 25. Combine the x terms: 25 + 5 = 30. The answer is 5x² + 30x + 25.
💡 How to solve: Polynomial Multiplication
Use FOIL: (ax + b)(cx + d) = acx² + (ad + bc)x + bd. Multiply the First terms, then add the Outer and Inner products for the middle term, then multiply the Last terms.
Try a similar one
Expand: (3x + 3)(x + 5)
✓ 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
💡 Use FOIL. First: x · 2x = 2x². Outer: x · 4 = 4x. Inner: 4 · 2x = 8x. Last: 4 · 4 = 16. Combine the x terms: 4 + 8 = 12. The answer is 2x² + 12x + 16.
✓ Correct!
Not quite. The answer is
💡 Use FOIL. First: x · 2x = 2x². Outer: x · 4 = 4x. Inner: 4 · 2x = 8x. Last: 4 · 4 = 16. Combine the x terms: 4 + 8 = 12. The answer is 2x² + 12x + 16.
💡 How to solve: Polynomial Multiplication
Use FOIL: (ax + b)(cx + d) = acx² + (ad + bc)x + bd. Multiply the First terms, then add the Outer and Inner products for the middle term, then multiply the Last terms.
Try a similar one
Expand: (2x + 5)(3x + 4)
✓ 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
💡 Use FOIL. First: 5x · x = 5x². Outer: 5x · 1 = 5x. Inner: 1 · x = x. Last: 1 · 1 = 1. Combine the x terms: 5 + 1 = 6. The answer is 5x² + 6x + 1.
✓ Correct!
Not quite. The answer is
💡 Use FOIL. First: 5x · x = 5x². Outer: 5x · 1 = 5x. Inner: 1 · x = x. Last: 1 · 1 = 1. Combine the x terms: 5 + 1 = 6. The answer is 5x² + 6x + 1.
💡 How to solve: Polynomial Multiplication
Use FOIL: (ax + b)(cx + d) = acx² + (ad + bc)x + bd. Multiply the First terms, then add the Outer and Inner products for the middle term, then multiply the Last terms.
Try a similar one
Expand: (3x + 4)(3x + 2)
✓ 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
💡 Use FOIL. First: x · 5x = 5x². Outer: x · 5 = 5x. Inner: 3 · 5x = 15x. Last: 3 · 5 = 15. Combine the x terms: 5 + 15 = 20. The answer is 5x² + 20x + 15.
✓ Correct!
Not quite. The answer is
💡 Use FOIL. First: x · 5x = 5x². Outer: x · 5 = 5x. Inner: 3 · 5x = 15x. Last: 3 · 5 = 15. Combine the x terms: 5 + 15 = 20. The answer is 5x² + 20x + 15.
💡 How to solve: Polynomial Multiplication
Use FOIL: (ax + b)(cx + d) = acx² + (ad + bc)x + bd. Multiply the First terms, then add the Outer and Inner products for the middle term, then multiply the Last terms.
Try a similar one
Expand: (x + 1)(x + 4)
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
Log in to save your progress.
Polynomial Multiplication — Easy Worksheet 2
Expand each expression.