Question

If (m_7)(m+6) are factors of p then the expression p is

Answer 1

Solution:

It is given that ,

p = (m-7)(m+6)

= [m+(-7)](m+6)

= m²+(-7+6)m+(-7)×6

/* x²+(a+b)x+ab = (x+a)(x+b) */

= m²+(-1)m+(-42)

= m²-m-42

Therefore,

p = m²-m-42

••••

Answer 2

Solution:-

Given:-

(m-7)(m+6) are factors of p.

=) p = ( m - 7)( m + 6)

=) p = m² + 6m - 7m -42

=) p = m² - m -42

Hence,

The Expression of p is ( m² - m - 42).