The factors of equation are 5 and 3.
Rewriting the equation -
x² - 8x + 15 = 0
ax² + bx + c = 0
Factorizing the equation such that -
The suitable factors that can be used for solving the expression are 5 and 3.
x² - 5x - 3x + 15 = 0
x(x - 5) -3 (x - 5) = 0
(x - 5) (x - 3) = 0
(x - 5)= 0
x = 5
(x - 3) = 0
x = 3
Hence, the two factors of expression are 5 and 3.
To check the factors, we will keep each value of x to see if Left Hand Side is equal to Right Hand Side or not
When x = 5
x² - 8x + 15 = 0
5² - 8×5 + 15 = 0
25 - 40 + 15 = 0
-15 + 15 = 0
0 = 0
When x = 3
x² - 8x + 15 = 0
3² - 8×3 + 15 = 0
9 - 24 + 15 = 0
- 15 + 15 = 0
0 = 0
Since for both factors Left Hand Side is equal to Right Hand Side, thus, 5 and 3 are correct factors of the equation.
Learn more about factoring -
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