Polynomial Operations

Adding, subtracting, multiplying, and factoring polynomials

⏱️ 4 min ❓ 5 Questions Progress: 0/5

Question 1

Simplify: (3x² + 2x - 1) + (x² - 3x + 4)

Explanation

Add polynomials by combining like terms (same variable and exponent)

Question 2

Multiply: (x + 3)(x - 2)

Explanation

Use FOIL method: First, Outer, Inner, Last terms

Question 3

Factor completely: x² - 5x + 6

Explanation

Find two numbers that multiply to 6 and add to -5

Question 4

What is the degree of the polynomial 4x³ - 2x² + x - 7?

Explanation

The degree is the highest exponent of the variable in the polynomial

Question 5

Divide: (x² + 5x + 6) ÷ (x + 2)

Explanation

Factor the numerator and cancel common factors

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