Search results
Learn how to factor quadratic equations by splitting the middle term, using formula, quadratic formula, algebraic identities and more. See examples, steps and solutions for each method.
We learn how to factor quadratics by spliting the middle term, as well as how to solve factored quadratic equations, using the null factor law. Splitting the middle term is one of the most efficicient ways of factoring quadratics and we learn this with a five-step method as well as a tutorial and several worked examples.
- Factorize each of the following expressions: (i) x2+ 6x + 8 (ii) x2+ 4x –21. Solution: (i) In order to factorize x2+ 6x + 8, we find two numbers p and q such that p + q = 6 and pq = 8.
- Factorize each of the following quadratic polynomials: x2 – 21x + 108. Solution: In order to factorize x2 – 21x + 108, we have to find two numbers such that their sum is – 21 and the product 108.
- Factorize the following by splitting the middle term : x2 + 3 √3 x + 6. Solution: In order to factorize x2 + 3 √3 x + 6, we have to find two numbers p and q such that.
- Factorize (a2 – 2a)2 – 23(a2 – 2a) + 120. Solution
Jan 25, 2023 · Learn how to factorise trinomials of the form a x 2 + b x + c by splitting the middle term b into two factors. See examples, rules, and methods with diagrams and frames.
This video explains the splitting the middle term technique used to factorise harder quadratics.Textbook Exercises: https://corbettmaths.com/wp-content/uploa...
- 11 min
- 237.3K
- corbettmaths
Oct 10, 2017 · We learn how to split the middle term in five steps. The technique is clearly explained with two detailed examples. We start by multiplying the leading coeff...
- 14 min
- 13.4K
- Radford Mathematics
Learn how to factorize quadratic equations using different methods such as splitting the middle term, taking out the GCD, using identities or quadratic formula. See examples, practice problems and download worksheets on factoring quadratics.
