Question

What side lengths should be used to model a rectangle with an area of x2 + 3x – 10 square units?

x – 5 and x + 2
x – 2 and x + 5
x and x + 3
x + 3 and x – 10

Answer 1

Answer:

(x+5), (x-2)

Step-by-step explanation:

By factorising the given quadratic equation it can be written as

x²-2x+5x-10=x(x-2)+5(x-2)

=(x+5)(x-2)

Answer 2

Answer:

(x-2)(x+5)

The second option is correct

Step-by-step explanation:

$x^{2}$+3x-10=area=lb

$x^{2}$+5x-2x-10=area

x(x+5)-2(x+5)

(x-2)(x+5)