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a_sh-v [17]
3 years ago
13

Factor each trinomial. Then match the polynomial (term) on the left with its factored form (definition) on the right.

Mathematics
2 answers:
Salsk061 [2.6K]3 years ago
7 0
<span>x2 – 4x – 12 A) (x – 6)(x + 2) x2 + 4x – 12 B) Prime x2 – x – 12 C) (x – 4)(x + 3) x2 – 7x – 12 D) (x – 2)(x + 6) i think this is the awnser:)</span>
Nuetrik [128]3 years ago
5 0
<h2>Answer:</h2>

x^2-4x-12\ ------------------\ (x+2)(x-6)\\\\x^2+4x-12\ -----------------\ (x-2)(x+6)\\\\x^2-x-12\ -------------------\ (x-4)(x+3)\\\\x^2-7x-12\ ------------------\ Prime

<h2>Step-by-step explanation:</h2>

1)

x^2-4x-12

This could be factored by using the method of splitting the middle term.

i.e.

x^2-4x-12=x^2-6x+2x-12\\\\i.e.\\\\x^2-4x-12=x(x-6)+2(x-6)\\\\i.e.\\\\x^2-4x-12=(x+2)(x-6)

2)

x^2+4x-12

This could again be factored by the method of splitting the middle term as follows:

x^2+4x-12=x^2+6x-2x-12\\\\i.e.\\\\x^2+4x-12=x(x+6)-2(x+6)\\\\i.e.\\\\x^2+4x-12=(x-2)(x+6)

3)

x^2-x-12

This could be factored by using the method of splitting the middle term.

i.e.

x^2-x-12=x^2-4x+3x-12\\\\i.e.\\\\x^2-x-12=x(x-4)+3(x-4)\\\\i.e.\\\\x^2-x-12=(x-4)(x+3)

4)

x^2-7x-12

This polynomial could not be factored.

Hence, it is a prime expression.

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The length of a rectangular garden ABCD is 9 feet more than its width. It is surrounded by a brick walkway 4 feet wide as shown
Anna71 [15]

Answer:

  16.5 ft by 25.5 ft

Step-by-step explanation:

Let w represent the width of the garden in feet. Then w+9 is the garden's length, and w(w+9) represents its area.

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  (w+8)(w+9+8) = w^2 +25w +136

If we subtract the area of the garden itself, then the remaining area is that of the walkway:

  (w^2 +25w +136) - (w(w+9)) = 400

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  16w = 264 . . . . . . . . subtract 136

  264/16 = w = 16.5 . . . . . width of the garden in feet

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5 0
3 years ago
Evaluate the expression Arcsec(sqrt 2). Do not use your calculator to answer this question. Do not express answer in decimals.
Igoryamba
Pi/4 radians  
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Answer:

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Step-by-step explanation:

i just did the problem and put in that answer on bakpax and got it right

3 0
3 years ago
What is 48,345÷34,886​
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6 0
3 years ago
Can you help?
Ber [7]
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