Key vocabulary for Polynomial Operations.
An expression of one or more terms with variables raised to non-negative integer powers.
\(4x^3 - 2x^2 + x - 5\)
A polynomial with 4 terms.
Terms that have the exact same variable part (same variable and same exponent).
\(3x^2\) \(+ 5x - 7 + \) \(-x^2\)
\(3x^2\) and \(-x^2\) are like terms.
A polynomial with exactly one term.
\(-8x^3\)
A polynomial with exactly two terms.
\(x + 9\)
A polynomial with exactly three terms.
\(x^2 - 6x + 8\)
A property used to multiply a single term by two or more terms inside a set of parentheses.
\(x(2x+3) = 2x^2 + 3x\)
A visual tool using a box to organize the multiplication of two polynomials.
| \(x\) | \(+5\) | ||
| \(x+2\) | \(x\) | \(x^2\) | \(5x\) |
| \(+2\) | \(2x\) | \(10\) | |
\( (x+2)(x+5) = x^2 + 7x + 10 \)