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17_1-3-4 Homework Week 6 with correct answers

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17_1-3-4 Homework Week 6 17.1 Homework Example: *The terms x^4, x^5, x^6, and x^7 have x^4 as the greatest common factor because the least exponent on the variable (x) in the factored forms i ... s 4 : x^4=1*x^4, x^5=x*x^4, x^6= x^2*x^4, x^7=x^3*x^4 GCF= x^4 ** The exponent on a variable in the GCF is the least exponent that appears on that variable in ALL the terms, as shown above. Steps to find 1. Factor - Write each number in their prime factoring form 2. List all common factors - List each prime number or each variable that is a factor of every term in the list. 3. Choose least exponents - Use as exponents on the common prime factors the least exponents from the now prime factored form. 4. Multiply – Multiply all the primes from Step 3. *If there is no primes left after Step 3, the GCF is always 1. Writing a polynomial (a sum) in factored form as a product is called factoring the polynomial. For example, the polynomial : 3m+12 has 2 terms , 3m and 12. The GCF of these two terms is 3. Simply, the number 3 can factor into both the terms. Ex: 3m+12 = 3 * m + 3 * 4 = 3 (m + 4)….. Which is the factored for of the polynomial example. This is called factoring out the Greatest Common Factor (GCF). Factoring Trinomials To Begin: We always want to remember the FOIL method when it comes to factoring trinomials. ( F- First // O- Outer ) // ( I- Inner // L- Last ) This method is used to check the binomials in the equation : *Multiplying the Outer and Last products ADDED WITH Multiplying the First and ....................................................continued........................................................... [Show More]

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