Factor the polynomial t2+8t

Two solutions were found : t = 8 t = 0

Reformatting the input:

Changes made to your input should not affect the solution:

(1) : "t2" was replaced by "t^2".

Step by step solution : Skip Ad

Step 1 : Step 2 : Pulling out like terms:

2.1 Pull out like factors:

t2 - 8t = t • (t - 8)

Equation at the end of step 2 : t • (t - 8) = 0 Step 3 : Theory - Roots of a product:

3.1 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:

3.2 Solve : t = 0

Solution is t = 0

Solving a Single Variable Equation:

3.3 Solve : t-8 = 0

Add 8 to both sides of the equation:

t = 8

Two solutions were found : t = 8 t = 0