In algebra, factorising is the process of finding the factors of an algebraic expression. The factors are the expressions that when multiplied together give the original expression. Factorising is an important skill in algebra and is used in solving equations, simplifying expressions, and finding roots of polynomial equations.
What is x2 + 20?
x2 + 20 is a quadratic expression, which means it is an expression of the form ax2 + bx + c, where a, b, and c are constants and x is the variable. In this case, a = 1, b = 0, and c = 20.
The Method of Factorisation
To factorise x2 + 20, we need to find two expressions that when multiplied together give us x2 + 20. We can use the following method: 1. Find the factors of the constant term (20 in this case). The factors of 20 are 1, 2, 4, 5, 10, and 20. 2. Write down all possible pairs of factors that add up to the coefficient of x (which is 0 in this case). The only pair of factors that add up to 0 is 0 and 0. 3. Write the original expression as the sum of the two expressions found in step 2, and factorise by grouping.
Step-by-Step Solution
1. Find the factors of 20: 1, 2, 4, 5, 10, 20. 2. Write down all possible pairs of factors that add up to 0: (1, -1), (2, -2), (4, -4), (5, -5), (10, -10), (20, -20), (0, 0). 3. Write the original expression as the sum of the two expressions found in step 2: x2 + 20 = (x + 0)(x + 0) + 20
Final Answer
x2 + 20 = (x + 0)(x + 0) + 20 = (x + 0)2 + 20
Conclusion
Factorising x2 + 20 involves finding two expressions that when multiplied together give us x2 + 20. By using the method of factorisation, we can find that x2 + 20 = (x + 0)2 + 20. This is an important skill in algebra and is used in many applications.
Share :
Post a Comment
for "Factorising X<Sup>2</Sup> + 20"
Post a Comment for "Factorising X<Sup>2</Sup> + 20"