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romanna [79]
2 years ago
13

Factor x2 – 3x – 28. Identify the values that should be written to complete the X diagram. On the top: On the bottom: On the sid

es: Rewrite the expression using the numbers on the sides of the X diagram. Use double grouping to factor the four terms. x2 – 3x – 28 =

Mathematics
2 answers:
insens350 [35]2 years ago
5 0
<span>x2 – 3x – 28 = (x-7)(x+4)</span>
Naily [24]2 years ago
4 0

Answer:

The factor form of given expression is (x-7)(x+4).

Step-by-step explanation:

The given expression is

x^2-3x-28

x^2-7x+4x-28

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

(x-7)(x+4)

Therefore the factor form of given expression is (x-7)(x+4).

If a expression is in the form of ax^2+bx+c, then in X diagram ac is written on the top, b is written on the bottom and the required factors of ac are written on the sides.

In the given expression,

a=1

b=-3

c=-28

ac=1\times -28=-28

The X diagram is shown in the given figure.

Therefore the factor form of given expression is (x-7)(x+4).

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