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What are the steps to multiplying rational numbers?
Step 1 Make the whole number a fraction by making it ?/1 Step 2 Make the mixed number a improper fraction by multiplying the denominator by the whole number and then adding the numerator and putting that on top of the original denominator. Step 3 SOLVE using basic multiplying fractions rules Step 4 SIMPLIFY
Which of the binomials below is a factor of this trinomial x2-13x 42?
Hopefully, one of the binomials below is either (x - 7) or (x - 6)
Which of the binomials below is a factor if this trinomial x2 plus 6x-40?
You didn't bother to list the binomials to choose from, but the two binomial factors of x2 + 6x - 40 are (x + 10) and (x - 4)
What is a binomial factor?
Binomials are algebraic expressions of the sum or difference of two terms. Some binomials can be broken down into factors. One example of this is the "difference between two squares" where the binomial a2 - b2 can be factored into (a - b)(a + b)
Which binomials are a factor of the trinomial x2-10x-24?
(x + 2)(x - 12)
What is multiplying binomials used for?
to simplify the equation
What is the difference multiplying binomials with factoring polynomials into binomial factors?
It's the difference between multiplication and division. Multiplying binomials is combining them. Factoring polynomials is breaking them apart.
When multiplying binomials that turn out negative do you add or subtract exponents?
When multiplying numbers with exponents, you add the exponents.
FOIL is a method that uses a pattern to simplify multiplying two together?
binomials
Is a method that uses a pattern to simplify multiplying two binomials together?
Foil
FOIL is a method that uses a pattern to simplify two binomials together?
multiplying
Why is the FOIL method not needed when multiplying two binomials?
It is only not needed if you know of another method. If FOIL is the only way you know to multiply two binomials, then it is definitely needed.
How do you multiply a binomial with another binomial?
Use the "F-O-I-L" Method when multiplying two binomials. F-O-I-L stands for First, Outer, Inner, Last. Multiply the first terms together, then the outer terms, the inner terms, and the last terms.
In the technique called FOIL what does L mean?
(F)irst multiply the first terms, (O)utside next, (I)nside next, (L)ast last. This is for multiplying two binomials, like: (x+1)(x+3)
How you use the algorithm when multiplying fractions by fractions?
step by step
How is factoring a polynomial different from multiplying two binomials?
The same way that factoring a number is different from multiplying two factors. In general, it is much easier to multiply two factors together, than to find factors that give a certain product.
What is a method for multiplying two binomials?
Depends on the kind of binomials. Case 1: If both binomials have different terms, then use the distribution property. Each term of one binomial will multiply both terms of the other binomial. After distribution, combine like terms, and it's done. Case 2: If both binomials have exactly the same terms, then work as in the 1st case, or use the formula for suaring a binomial, (a ± b)2 = a2 ± 2ab + b2. Case 3: If both binomials have terms that only differ in sign, then work as in the 1st case, or use the formula for the sum and the difference of the two terms, (a - b)(a + b) = a2 - b2.
