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Name Date Factoring x 2 + bx + c 7.5 For use with Exploration 7.5 Essential Question How can you use algebra tiles to factor the trinomial x 2 + bx + c into the product of two binomials? 1 EXPLORATION:
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How to Fill Out Factoring x2 + bx?
01
Identify the values of "a", "b", and "c" in the quadratic equation of the form x2 + bx + c.
02
Once you have determined the values of "a", "b", and "c", write down the equation.
03
To factor x2 + bx, we need to find two numbers whose sum is equal to "b" and whose product is equal to "ac".
04
List all the possible factor pairs of "ac" that satisfy the conditions mentioned in the previous step.
05
Choose the pair of factors that add up to "b". These will be used to split the middle term of the equation.
06
Rewrite the equation by splitting the middle term using the two chosen factors.
07
Group the terms and factor out the common factors between each group.
08
Finally, factor the common binomial factors out of each group separately.
09
The factored form of x2 + bx + c is now obtained.
Who Needs Factoring x2 + bx?
01
Students studying quadratic equations in mathematics classes may need to learn how to factor x2 + bx expressions.
02
Engineers, scientists, and researchers who use mathematical models involving quadratic equations may need to factor such expressions to simplify their work.
03
Individuals preparing for standardized tests, such as the ACT or SAT, should be familiar with factoring x2 + bx expressions as they often appear in the math sections of these exams.
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What is factoring x 2 bx?
Factoring x^2 + bx is a mathematical operation used to simplify quadratic expressions.
Who is required to file factoring x 2 bx?
Factoring x^2 + bx is typically studied by students learning algebra or calculus.
How to fill out factoring x 2 bx?
To factor x^2 + bx, one can use techniques such as factoring by grouping or the ac method.
What is the purpose of factoring x 2 bx?
The purpose of factoring x^2 + bx is to rewrite quadratic expressions in a simplified form.
What information must be reported on factoring x 2 bx?
The factors of x^2 + bx should be identified along with any common factors that can be simplified.
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