Factor trinomials of the type ax^2 + bx + c using the FOIL — first, outer, inner, last — method. A factored trinomial consists of two binomials. For example, the expression (x+2)(x+5) = x^2 + 5x + 2x + 2(5) = x^2 + 7x + 10. When the leading coefficient, a, is o...
(x + 3). when we multiply both x +2 and x+3, then the original polynomial is generated. after factorisation, we can also find the zeros of the polynomials. in this case, zeroes are x = -2 and x = -3. types of factoring polynomials there are six different methods to factorising ...
the second factor is (x^2 + 4x + 4). Multiply the two factors together to get the factored form of the binomial: (2x - 2)(4x^2 + 4x + 4) in the example equation.
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(FOIL: First Outer Inner Last, a way of multiplying two binomials together. Multiply the first terms of the binomials (x and x in this case), then the outer two (x and -2), then the inner two (2 and x), then the last terms (2 and -2), then add them all up. x^2 - 2x...
Problem 8. The square of a trinomial. Use your knowledge of (a + b)2 to multiply out (a + b + c)2.[Hint: Treat as a binomial with as the first term.]( + c)2 = (a + b)2 + 2(a + b)c + c2 = a2 + 2ab + b2 + 2ac + 2bc + c2 = a2 + b2 + c2 + 2ab +...
Factor the trinomial x^2 - 22x + 121. Here there is no GCF to pull out. Instead, find the square roots of the first and last terms, which in this case are x and 11. When setting up the parenthetical terms, remember the middle term will be the sum of the products of the first ...
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To multiply two functions, use the following formula: (f · g)(x) = f(x) · g(x) Using the same values for f(x) and g(x) as above results in the following solution: (f · g)(x) = (x2) · (4x + 6) = 4x3+ 6x2 ...
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