The expression 2x^2+5x-12 is equivalent to which of the following? a
(2x-3)(x+4)

b
(x+3)(2x-4)

c
(2x-3)(2x+2)

d
(2x+3)(x-4)

letter D

Step-by-step explanation:

2

x

2

−

5

x

−

12

We can Split the Middle Term of this expression to factorise it.

In this technique, if we have to factorise an expression like

a

x

2

+

b

x

+

c

, we need to think of 2 numbers such that:

N

1

⋅

N

2

=

a

⋅

c

=

2

⋅

−

12

=

−

24

and,

N

1

+

N

2

=

b

=

−

5

After trying out a few numbers we get:

N

1

=

−

8

and

N

2

=

3

3

⋅

(

−

8

)

=

−

24

, and

3

+

(

−

8

)

=

−

5

2

x

2

−

5

x

−

12

=

2

x

2

−

8

x

+

3

x

−

12

=

2

x

(

x

−

4

)

+

3

(

x

−

4

)

(

x

−

4

)

is a common factor to each of the terms

=

(

2

x

+

3

)

(

x

−

4

)

a see below for explanation

Step-by-step explanation:

2x^2 + 8x - 3x - 12

2x^2 +5x - 12

reduce the friction between its moving parts

step-by-step explanation:

in fact, by reducing the friction between the moving parts of the machine, it is possible to reduce the energy wasted due to this friction; therefore, more input energy is converted into useful work, and this will improve the efficiency of the machine.

2

step-by-step explanation: