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Name:___Date:___PreCalculus 11 Ch3/4 HW Lesson1 Factoring Trinomials 1. Given each pair of binomials, expand and simplify: a. ( x 3)( x + 4 )b. ( x + 11)( x 9 )c. ( 2 x + 3)( 3x 1)e. ( 7 x 3)( 4 x
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To fill out factoring trinomials, follow these steps:
02
Determine if the trinomial is in the form of ax^2 + bx + c, where a, b, and c represent coefficients.
03
Find two numbers that multiply to give ac (the product of the coefficient of x^2 and the constant term c), and add up to give b (the coefficient of x).
04
Write the trinomial in the form of the product of two binomials.
05
In each binomial, write the x-term as the sum of the two numbers from step 2 and factor out the greatest common factor.
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Simplify and rewrite the expression in factored form.

Who needs factoring trinomials of the?

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Factoring trinomials is a key skill in algebra and is needed by students studying algebraic equations, quadratic functions, or polynomial expressions.
02
It is used to solve equations, find the roots or zeros of quadratic equations, factorize polynomial expressions, and perform various algebraic manipulations.
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Anyone studying mathematics, science, engineering, or related fields may need to use factoring trinomials in their calculations or problem-solving processes.
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Factoring trinomials refers to the process of breaking down a trinomial expression into the product of two binomials.
Typically, anyone dealing with a trinomial in algebra or polynomial expressions may need to factor it, but it's not a filing requirement like tax documents; rather, it's a mathematical process.
To factor a trinomial of the form ax^2 + bx + c, look for two numbers that multiply to ac and add to b, then express the trinomial as a product of two binomials.
The purpose of factoring trinomials is to simplify expressions, solve quadratic equations, and analyze polynomial functions.
There is generally no reporting requirement for factoring trinomials; it is an algebraic technique rather than a formal process that involves documentation.
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