Factorize:x2 – 23x + 42

Q11 of 137 Page 102

Factorize:
x² – 23x + 42

Given,

x² – 23x + 42

Now, first we have to find out the numbers whose-

Sum = - 23 and

Product = 42

The numbers are 21 and 2,

So,

x² – 23x + 42 = x² – 21x – 2x + 42

= x(x – 21) – 2(x – 21)

= (x – 21)(x – 2)

Factorize:

p² + 6p – 16

Factorize:

x² – 10x + 24

x² – 17x + 16

Factorize:

y² – 21y + 90