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Classifying & Adding/Subtracting Polynomials — Easy Worksheet 2
Grade 9 · MathSheets Name: ____________________ Date: __________
Write polynomials in standard form (highest power first) and type powers with ^, like 3x^2 - 5x + 1. Name polynomials with words, like quadratic trinomial.
How to solve
The degree is the highest exponent, and the leading coefficient is the number in front of that highest power (1 or -1 if no number is written). By degree: 0 constant, 1 linear, 2 quadratic, 3 cubic, 4 quartic. By number of terms: 1 monomial, 2 binomial, 3 trinomial. To add, combine like terms (same power of x). To subtract, change the sign of every term in the second polynomial, then combine like terms: (5x2 + x) - (2x2 - 3x) = 3x2 + 4x.
Example
Find the degree of the polynomial 4x³ + x² - 5x + 3.
Answer: 3
✓ Correct!
Not quite. The answer is
💡 How to solve: Classifying & Adding/Subtracting Polynomials
The degree is the highest exponent, and the leading coefficient is the number in front of that highest power (1 or -1 if no number is written). By degree: 0 constant, 1 linear, 2 quadratic, 3 cubic, 4 quartic. By number of terms: 1 monomial, 2 binomial, 3 trinomial. To add, combine like terms (same power of x). To subtract, change the sign of every term in the second polynomial, then combine like terms: (5x2 + x) - (2x2 - 3x) = 3x2 + 4x.
Try a similar one
Find the degree of the polynomial 5x³ + 2.
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
✓ Correct!
Not quite. The answer is
💡 How to solve: Classifying & Adding/Subtracting Polynomials
The degree is the highest exponent, and the leading coefficient is the number in front of that highest power (1 or -1 if no number is written). By degree: 0 constant, 1 linear, 2 quadratic, 3 cubic, 4 quartic. By number of terms: 1 monomial, 2 binomial, 3 trinomial. To add, combine like terms (same power of x). To subtract, change the sign of every term in the second polynomial, then combine like terms: (5x2 + x) - (2x2 - 3x) = 3x2 + 4x.
Try a similar one
Find the degree of the polynomial x³ + 6x² + 4x.
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
✓ Correct!
Not quite. The answer is
💡 How to solve: Classifying & Adding/Subtracting Polynomials
The degree is the highest exponent, and the leading coefficient is the number in front of that highest power (1 or -1 if no number is written). By degree: 0 constant, 1 linear, 2 quadratic, 3 cubic, 4 quartic. By number of terms: 1 monomial, 2 binomial, 3 trinomial. To add, combine like terms (same power of x). To subtract, change the sign of every term in the second polynomial, then combine like terms: (5x2 + x) - (2x2 - 3x) = 3x2 + 4x.
Try a similar one
Find the degree of the polynomial 5x² + 6x + 3.
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
✓ Correct!
Not quite. The answer is
💡 How to solve: Classifying & Adding/Subtracting Polynomials
The degree is the highest exponent, and the leading coefficient is the number in front of that highest power (1 or -1 if no number is written). By degree: 0 constant, 1 linear, 2 quadratic, 3 cubic, 4 quartic. By number of terms: 1 monomial, 2 binomial, 3 trinomial. To add, combine like terms (same power of x). To subtract, change the sign of every term in the second polynomial, then combine like terms: (5x2 + x) - (2x2 - 3x) = 3x2 + 4x.
Try a similar one
Find the degree of the polynomial 3x³ + 5x² + 5x + 2.
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
✓ Correct!
Not quite. The answer is
💡 How to solve: Classifying & Adding/Subtracting Polynomials
The degree is the highest exponent, and the leading coefficient is the number in front of that highest power (1 or -1 if no number is written). By degree: 0 constant, 1 linear, 2 quadratic, 3 cubic, 4 quartic. By number of terms: 1 monomial, 2 binomial, 3 trinomial. To add, combine like terms (same power of x). To subtract, change the sign of every term in the second polynomial, then combine like terms: (5x2 + x) - (2x2 - 3x) = 3x2 + 4x.
Try a similar one
Find the degree of the polynomial 3x³ + 6x².
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
✓ Correct!
Not quite. The answer is
💡 How to solve: Classifying & Adding/Subtracting Polynomials
The degree is the highest exponent, and the leading coefficient is the number in front of that highest power (1 or -1 if no number is written). By degree: 0 constant, 1 linear, 2 quadratic, 3 cubic, 4 quartic. By number of terms: 1 monomial, 2 binomial, 3 trinomial. To add, combine like terms (same power of x). To subtract, change the sign of every term in the second polynomial, then combine like terms: (5x2 + x) - (2x2 - 3x) = 3x2 + 4x.
Try a similar one
Find the degree of the polynomial 4x³ + 6x² + 3x + 4.
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
✓ Correct!
Not quite. The answer is
💡 How to solve: Classifying & Adding/Subtracting Polynomials
The degree is the highest exponent, and the leading coefficient is the number in front of that highest power (1 or -1 if no number is written). By degree: 0 constant, 1 linear, 2 quadratic, 3 cubic, 4 quartic. By number of terms: 1 monomial, 2 binomial, 3 trinomial. To add, combine like terms (same power of x). To subtract, change the sign of every term in the second polynomial, then combine like terms: (5x2 + x) - (2x2 - 3x) = 3x2 + 4x.
Try a similar one
Find the degree of the polynomial 2x² + 6x + 2.
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
✓ Correct!
Not quite. The answer is
💡 How to solve: Classifying & Adding/Subtracting Polynomials
The degree is the highest exponent, and the leading coefficient is the number in front of that highest power (1 or -1 if no number is written). By degree: 0 constant, 1 linear, 2 quadratic, 3 cubic, 4 quartic. By number of terms: 1 monomial, 2 binomial, 3 trinomial. To add, combine like terms (same power of x). To subtract, change the sign of every term in the second polynomial, then combine like terms: (5x2 + x) - (2x2 - 3x) = 3x2 + 4x.
Try a similar one
Find the degree of the polynomial -x³ - x².
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
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Classifying & Adding/Subtracting Polynomials — Easy Worksheet 2
Write polynomials in standard form (highest power first) and type powers with ^, like 3x^2 - 5x + 1. Name polynomials with words, like quadratic trinomial.