Question

Factor x2 – 3x – 28.

Answer 1

Values needed to complete the X diagram are:

On top -28, On the bottom: -3 and On the sides: -7 and 4.

What do you mean by factorization?

An algebraic expression is factorised when it is written as the product of its factors.

The given equation is :

F(x) = x²-3x-28

finding factors,

=  x²-7x+4x-28

= x(x-7) +4(x-7)

= (x-7)(x+4)

Given general equation is ax²+bx+c,

on comparing with  x²-3x-28

a = 1

b = -3

c = -28

ac = 1*(-28) = -28

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