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

3

step-by-step explanation:

in standard form:

a= dictionaries

b= maps

you have to buy 3 dictionaries, so put a 3 next to the a (dictionaries) so that you can multiply them by each other.

a3+b= 60 (the amount of money you have)

we already know the cost of a=15 so replace a with $15

($15 x 3)+b=60

multiply 15 and 3 to get $45 and replace it with $45

45+b=60

and then replace b with 15 to get the total:

45+15=60

that means you have $15 left after buying 3 dictionaries.

15 divided by the cost of a map ($5) equals 3.

so you can buy 3 maps.

sorry if it was confusing!

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