Subject: Mathematics
Book: Maths Mastery
When a quadratic ax²+bx+c has a>1, factoring is trickier. For example, factor 6x²+13x+6. Look for two numbers that multiply to a×c=36 and add to b=13. These are 9 and 4. Rewrite 13x as 9x+4x, group, and factor in pairs: 6x²+9x+4x+6 = 3x(2x+3)+2(2x+3) → (3x+2)(2x+3). This approach helps solve harder quadratics or rational expressions. Proficiency ensures you won’t rely solely on the quadratic formula, letting you elegantly reduce or solve polynomial equations, essential for advanced algebra or geometry tasks involving factorization.
What is the LCM of 15 and 20?
View QuestionWhat is the square root of 121?
View QuestionIf a + b = 10 and ab = 21, what is the value of a^2 + b^2?
View QuestionIf a:b = 5:7 and b:c = 6:11, what is a:c?
View QuestionThe probability of rolling a sum of 7 with two dice is:
View QuestionIf the radius of a circle is doubled, what happens to its area?
View QuestionA sum of money doubles itself in 5 years at simple interest. What is the rate of interest?
View QuestionHow many ways can 4 people sit in a row?
View QuestionIf 2x = 16, what is the value of x?
View QuestionThe simple interest on Rs. 4000 at 5% per annum for 2 years is:
View Question