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Factoring
Common factors, difference of squares, trinomials and cubes.
Factoring reverses multiplication. Always take out a common factor first, then look for a pattern: a² − b² = (a − b)(a + b); a² ± 2ab + b² = (a ± b)²; a³ ± b³ = (a ± b)(a² ∓ ab + b²); and for a trinomial, two numbers whose product is a·c and whose sum is b.
Үйлдэл · factor x^2 - 9
Одоо та Даалгавар сонго, эсвэл бич, эсвэл зур. Бүх алхам, зураг, хариулт нь асуулт асуух хүртэл нуугдаж байдаг.
Үнэгүй бүртгэл нь хичээл бүрийн тэмдэглэл, төгссөн хичээл, шийдсэн даалгаврын тэмдэглэл, энэ хуудсан дээр асууж болох багшийг нэгтгэж өгдөг. Математик нь бүртгэлтэй, бүртгэлтэйгүй хэн бүхэнд нээлттэй.
Бүртгүүлэх НэвтрэхЭнд ашигласан тэмдэгтүүд
Бүх тодорхойлолт, зураг, үсгийн утгыг харахын тулд ямар ч тэмдэгтийг дарна уу.
Яаж: Factoring
- Start from the expression.
- Difference of two squares: a² − b² = (a − b)(a + b).
Хүмүүс асуудаг асуултууд
What does it mean to solve an equation?
To find every value of the unknown that makes both sides equal. Each step is an operation applied to both sides that keeps the solution set the same, until the unknown stands alone.
Why do I sometimes get two answers?
A quadratic can cross the axis twice, so it can have two solutions. A degree-n polynomial has up to n. The graph shows where each one comes from.
How do I know whether to factor or use the quadratic formula?
Try factoring for a few seconds: look for two numbers that multiply to a·c and add to b. If nothing obvious appears, the discriminant b² − 4ac tells you how many real roots there are, and the formula finds them without guessing.
Бүх зүйл Algebra
Linear equationsQuadratic equationsSystems of equationsInequalitiesExpandingSimplifying expressionsFunctions and graphsExponential and logarithmic equationsPolynomial equationsAbsolute value