![]() Identify two factors of □ □ whose sum is equal to □. Let us look at how to factor a nonmonic quadratic.įor a quadratic in the form □ □ + □ □ + □ , given that it factors into theįorm ( □ □ + □ ) ( □ □ + □ ), to find the factored form, we first In fact, factoring a quadratic is the exact reverse of In Example 1, in expanding the binomials, it is worth noting that we have found the quadraticįor which the binomials are factors. If we then expand the two expressions separately, we get 1 2 □ − 3 □ + 8 □ − 2, and by simplifying we find that our solution is We can use the distributive property to rewrite the question as follows: Process of factoring and can be used to better understand the process. Whole numbers greater than or less than one and □ and □īefore we look at factoring, let us recap expanding two binomials. Going to look exclusively at quadratics that factor into the form ForĮxample, the quadratic 5 □ + 1 5 □ is nonmonic, but this factors into the form Now, we are going to look at how we factor a specific group of nonmonic quadratics. ![]() Of the leading term is not one is called a nonmonic quadratic. Therefore, any quadratic where the coefficient In this explainer, we will learn how to factor quadratic expressions in the form □ □ + □ □ + □ where the coefficient of the leading term is greater than 1.Ī quadratic is said to be monic if the coefficient of the leading term (the
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