Classifying and Simplifying Polynomials

What type of polynomial is represented by 4p³+2p²+19p-5?

What type of polynomial is represented by 5x⁴+12?

What type of polynomial is represented by n²-7n-21?

What type of polynomial is represented by the number 3?

What type of polynomial is represented by 2x+7?

What type of polynomial is represented by -8y²?

What is the simplification of (3x²-4x+1)+(-x²+x-2)?

What is the simplification of (7-4x²+x)+(8x+5x²-7)?

What is the simplification of (2x²-8x+2)-(-3x²+5x-7)?

What is the simplification of (6x²-5x)-(4x²-3x+4)?

What is the simplification of 3x(6x²-4xy²)+8x²y²-2y³?

What is the simplification of -2x(x³-6x²+6)+4x³-(5x⁴+10x)?

What is the simplification of (x-4)(x+6)?

What is the simplification of (2x-3)(6x+1)?

What is the simplification of (5x+y)(x-4y)?

What is the simplification of (7x-1)²?

What is the simplification of (x-10)(x+10)?

What is the simplification of (x-9)(x²+4x-10)?

What is the simplification of (3x+5)(4x²-5x-3)?

What is the simplification of (6x³-15x²-3x)÷(3x)?

What is the simplification of (32x⁸b⁶-12x⁵y⁴z²)÷(4x³y³)?

What is the simplification of (7x³+4x²+2x)÷(x²)?

What is the result of subtracting (x²-xy+2y²) from (5x²-9xy+2y²)?

What is the area of the shaded region for 5x³+17x²-35x-30?

Polynomials Classification

Cubic Polynomial: Example: 4p³ + 2p² + 19p - 5
Quartic Binomial: Example: 5x⁴ + 12
Quadratic Trinomial: Example: n² - 7n - 21
Constant Monomial: Example: 3
Linear Binomial: Example: 2x + 7
Quadratic Monomial: Example: -8y²

Polynomial Simplification

Simplifying Expression: (3x² - 4x + 1) + (-x² + x - 2) results in 2x² - 3x - 1
Simplifying Expression: (7 - 4x² + x) + (8x + 5x² - 7) results in x² + 9x
Simplifying Expression: (2x² - 8x + 2) - (-3x² + 5x - 7) results in 5x² - 13x + 9
Simplifying Expression: (6x² - 5x) - (4x² - 3x + 4) results in 2x² - 2x - 4
Simplifying Expression: 3x(6x² - 4xy²) + 8x²y² - 2y³ results in 18x³ - 4x²y² - 2y³
Simplifying Expression: -2x(x³ - 6x² + 6) + 4x³ - (5x⁴ + 10x) results in -7x⁴ + 16x³ - 22x
Factoring Expression: (x - 4)(x + 6) simplifies to x² + 2x - 24
Factoring Expression: (2x - 3)(6x + 1) simplifies to 12x² - 16x - 3
Factoring Expression: (5x + y)(x - 4y) simplifies to 5x² - 19xy - 4y²
Squares and Differences: (7x - 1)² simplifies to 49x² - 14x + 1
Factoring Difference of Squares: (x - 10)(x + 10) simplifies to x² - 100
Factoring Expression: (x - 9)(x² + 4x - 10) simplifies to x³ - 5x² - 46x + 90
Factoring Expression: (3x + 5)(4x² - 5x - 3) simplifies to 12x³ + 5x² - 34x - 15
Dividing Polynomials: (6x³ - 15x² - 3x) ÷ (3x) results in 2x² - 5x - 1
Dividing and Simplifying: (32x⁸b⁶ - 12x⁵y⁴z²) ÷ (4x³y³) results in 8x⁵y³ - 3x²yz²
Dividing Polynomial Expression: (7x³ + 4x² + 2x) ÷ (x²) results in 7x + 4 + 2/x
Subtracting Polynomials: From (5x² - 9xy + 2y²), subtract (x² - xy + 2y²) results in 4x² - xy
Area of Polynomial: Calculation leads to 5x³ + 17x² - 35x - 30 for the shaded region area