Question

Polynomial factor of 7p2-7p

Answer 1

Answer:

7p is the correct answer

Answer 2

$\huge\color{pink}{\underline{\underline{answer\::}}}$

p = 0 and p = 2

$\huge\color{yellow}{\underline{\underline{explanation\::}}}$

Rearrange:

• Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

7p² -7p - (7p)=0

Equation at the end of step 1

(7p² - 7p) - 7p = 0

Pulling out like terms

Pull out like factors

7p² - 14p = 7p • (p - 2)

7p • (p - 2) = 0

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 : 7p = 0

Divide both sides of the equation by 7:

p = 0

Solving a Single Variable Equation:

4.3 Solve : p-2 = 0

Add 2 to both sides of the equation :

p = 2

Two solutions were found :

p = 2

p = 0