Solve: 12x2 7x - 10 = 0
Solving a quadratic equation in which the trinomial has a leading coefficient other than one.
Subject: factor
Transcript: IT BY FACTORING. WE'LL USE THE SAME BASIC STEPS. WE'LL MAKE SURE THE EQUATION IS IN STANDARD FORM, THEN WE'LL FACTOR THE TRINOMIAL. FINALLY, WE'LL FIND
Standard Quadratic Trinomial Form
The standard form for any quadratic trinomial is ax2 bx c.
Series: Factoring, Part Three
Subject: factor
Transcript: FORM. THAT WAY WHEN WE FACTOR WE WON'T HAVE ANY QUESTION ABOUT WHICH TERMS TO USE FOR THE PRODUCT AND THE SUM OF THE TWO NUMBERS WE'RE LOOKING FOR.
When to Factor Instead of Using the Quadratic Formula
It makes sense to factor instead of using the quadratic formula when it's easy to find two numbers whose sum is the same as the middle term
Subject: factor
Transcript: THE QUADRATIC FORMULA IS USEFUL WHEN WE CAN'T FACTOR, OR WHEN IT WOULD BE TOO TIME-CONSUMING TO FACTOR. BUT WHAT WOULD YOU DO WITH AN EQUATION LIKE
Adding Rational Expressions: Practice Problem
Rational expressions with different denominators are added.
Subject: factor
Transcript: ISN'T FULLY FACTORED, BUT LOOK AT WHAT HAPPENS WHEN WE FACTOR IT. THE FACTORS 2 AND 2A PLUS C DON'T HELP US REDUCE. THE NUMERATOR AND DENOMINATOR HAVE