Factoring Polynomials

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What is factoring in mathematics?

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Factoring is the process of breaking down an expression into a product of simpler expressions, or factors, that when multiplied together give the original expression.

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What is a polynomial?

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A polynomial is a mathematical expression that consists of variables, coefficients, and non-negative integer exponents, combined using addition, subtraction, and multiplication.

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What is a trinomial?

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A trinomial is a polynomial with three terms, typically in the form of ax^2 + bx + c.

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What does it mean to factor a trinomial?

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Factoring a trinomial involves expressing it as a product of two binomials.

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What is the difference of squares?

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The difference of squares is a special factoring case where an expression is in the form a^2 - b^2, which can be factored as (a + b)(a - b).

Tags

CCSS.HSA.APR.C.4

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(2x + 1)(x + 11) or (x + 11)(2x + 1)

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(x + 5)(x - 5) - This is an example of the difference of squares.

Tags

CCSS.HSA.APR.C.4

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What is factoring by grouping?

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Factoring by grouping is a method used to factor polynomials with four or more terms by grouping terms into pairs and factoring out common factors.

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(7x^2 - 5)(5x - 6) - Group terms and factor out common factors.

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What is a common factor?

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A common factor is a number or expression that divides two or more numbers or expressions without leaving a remainder.