Factor each polynomial: (SHOW EACH NECESSARY STEP!)
25x^2 - 5x
Answers
Answer:
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Step-by-step explanation:
(or)
Answer:
Step by step solution :
STEP
1
:
Equation at the end of step 1
52x2 - 5x = 0
STEP
2
:
STEP
3
:
Pulling out like terms
3.1 Pull out like factors :
25x2 - 5x = 5x • (5x - 1)
Equation at the end of step
3
:
5x • (5x - 1) = 0
STEP
4
:
Theory - Roots of a product
4.1 A product of several terms equals zero.
When a product of two or more terms equals zero, then at least one of the terms must be zero.
We shall now solve each term = 0 separately
In other words, we are going to solve as many equations as there are terms in the product
Any solution of term = 0 solves product = 0 as well.
Solving a Single Variable Equation:
4.2 Solve : 5x = 0
Divide both sides of the equation by 5:
x = 0
Solving a Single Variable Equation:
4.3 Solve : 5x-1 = 0
Add 1 to both sides of the equation :
5x = 1
Divide both sides of the equation by 5:
x = 1/5 = 0.200