{"id":34986,"date":"2021-01-27T13:41:51","date_gmt":"2021-01-27T08:11:51","guid":{"rendered":"https:\/\/ccssanswers.com\/?p=34986"},"modified":"2022-06-22T11:56:28","modified_gmt":"2022-06-22T06:26:28","slug":"factorize-the-trinomial-x2-px-q","status":"publish","type":"post","link":"https:\/\/ccssanswers.com\/factorize-the-trinomial-x2-px-q\/","title":{"rendered":"Factorize the Trinomial x^2 + px + q | How to Find Factorization of Trinomial of the Form x^2 + px + q?"},"content":{"rendered":"

Learn How to Factorize the Trinomial x2<\/sup> + px +q? A Trinomial is a three-term algebraic expression. By Factoring<\/a> the trinomial expression, we will get the product of two binomial terms. Here, the trinomial expression contains three terms which are combined with the operations like addition or subtraction. Here, we need to find the coefficient values, and based on the coefficient values, we can find out the binomial terms as products of trinomial expression.<\/p>\n

How to Factorize the Trinomial x2<\/sup> + px + q?<\/h2>\n

To find x^2 + px + q, we have to find the two terms (m + n) = p and mn = q.
\nSubstitute (m + n) = p and mn = q in x^2 + px + q.
\nx^2 + px + q = x^2 + (m + n)x + mn.
\nBy expanding the above expression, we will get
\nx^2 + px + q = x^2 + mx + nx + mn.
\nseparate the common terms from the above expression.
\nthat is, x(x + m) + n(x + m).
\nfactor out the common term.
\nthat is, (x + m) (x + n).
\nSo, x^2 + px + q = (x + m)(x + n).<\/p>\n

Factorization of Trinomial Steps<\/h3>\n