Factorise:

Question:

Factorise:
x2 − 17x + 16

Solution:

The given expression is $x^{2}-17 x+16$.

Find two numbers that follow the conditions given below:

Sum $=-17$

Product $=16$

Clearly, the numbers are $-16$ and $-1$.

$x^{2}-17 x+16=x^{2}-16 x-x+16$

$=x(x-16)-1(x-16)$

$=(x-16)(x-1)$

Leave a comment

Close
faculty

Click here to get exam-ready with eSaral

For making your preparation journey smoother of JEE, NEET and Class 8 to 10, grab our app now.

Download Now