Question

Factor each polynomial: (SHOW EACH NECESSARY STEP!)
25x^2 - 5x​

Answer 1

Answer:

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Step-by-step explanation:

${25x}^{2} - 5x \\ = > 5x(5x - 1)$

(or)

Answer 2

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