Subject: Mathematics
Book: Maths Mastery
Factoring is a more intuitive method for solving ax² + bx + c = 0 when the polynomial can be expressed as a product of two binomials. For instance, x² + 5x + 6 factors to (x + 2)(x + 3) = 0, giving solutions x = –2 or x = –3. The approach requires identifying two numbers that multiply to ac and add to b. While factoring is not always possible with neat integers, it’s efficient when applicable. This method is widely used in geometry, business break-even analyses, and logic puzzles. Practicing with different coefficients develops a keen sense for pattern recognition and polynomials.
If the sum of three consecutive integers is 72, what are the integers?
View QuestionA rectangle has a length of 10 cm and a width of 5 cm. What is the diagonal of the rectangle?
View QuestionWhat is the length of the diagonal of a square with a side length of 7 cm?
View QuestionThe sides of a triangle are 7, 24, and 25. Is this a right triangle?
View QuestionA car covers a distance of 150 km in 2.5 hours. What is its average speed?
View QuestionA sphere has a radius of 7 cm. What is its volume?
View QuestionWhat is the sum of all even numbers between 1 and 50?
View QuestionA sum triples in 20 years at simple interest. What is the rate of interest per annum?
View QuestionHow many diagonals does a pentagon have?
View QuestionIf x + 1/x = 5, what is the value of x^2 + 1/x^2?
View Question