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How to factor a trinomial completely over real numbers

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How to factor a trinomial completely over real numbers

41,521 views October 26, 2016 3:09

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ChannelBrian McLogan

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Learn how to factor higher order trinomials. A polynomial is an expression of the form ax^n + bx^(n-1) + . . . + k, where a, b, and k are constants and the exponents are positive integers. To factor an algebraic expression means to break it up into expressions that can be multiplied together to get the original expression.

Given a higher order trinomials with consecutive positive integer exponents or in such a way that the exponent of the middle term is half the sum of the exponents of the first and last term, then we can try factoring the polynomial by determining two terms whose product is the product of the first and the last terms and whose sum is the middle term of the original polynomial.

We can now replace the middle term by the two obtained terms and then complete the factoring by grouping.
#polynomials #factorpolynomials

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Brian McLogan published this 3:09 video tutorial on October 26, 2016. It has been watched 41,521 times on YouTube.

Category
Education
Duration
3:09
Published
October 26, 2016
Views
41,521
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291

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Further reading

  • Howto: How To Completely Factor A Trinomial 24howtowikies.blogspot.com

    Identifying sets of real numbers determine rational or irrational numbers square roots and decimals only. How to completely factor a trinomial. Factor a perfect square trinomial. Factor each trinomial completely. For ex…

  • How To Factor Trinomials Step By Step tutorial with practice ... mathwarehouse.com

    Identify a, $$ \blue b $$ , and $$\red c $$ in the trinomial $$ ax^2 + \blue bx + \red c $$ Write down all factor pairs of $$\red c $$ Identify which factor pair from the previous step sum up to $$ \blue b $$ Substitute…

  • 3 Ways to Factor Trinomials - wikiHow wikihow.com

    How to Factor Trinomials. A trinomial is an algebraic expression made up of three terms. Most likely, you'll start learning how to factor quadratic trinomials, meaning trinomials written in the form ax2 + bx + c.

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