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ASHA 777 [7]
3 years ago
8

Factor each trinomial. Then match the polynomial (term) on the left with its factored form (definition) on the right. 1. x2 − 7x

− 12 2. x2 − x − 12 3. x2 − 4x − 12 4. x2 + 4x − 12 a. (x - 6)(x + 2) b. (x - 2)(x + 6) c. (x - 4)(x + 3) d. Prime
Mathematics
1 answer:
just olya [345]3 years ago
6 0

Answer:

1. ---> d. Prime

2.---> c. (x-4)(x+3)

3.---> a. (x-6)(x+2)

4. ---> b. (x-2)(x+6)

Step-by-step explanation:

Trinomials are three term algebraic expressions typically featuring variables to exponent powers. To break these trinomials down we factor them using the diamond method or GCF. The diamond method states that for a trinomial ax^2+bx+c multiply a*c then find two numbers which multiply to this number and add to b. When you find those numbers, write them as (x-/+ number)(x-/+number).

1. x^2-7x-12

a=1, c=-12

ac=-12 and add to b=-7

Not possible. PRIME. This is not possible because the factors of -12 would have two different signs and would not be able to add to -7.

2. x^2-x-12

a=1, c=-12

ac=-12 and add to b=-1

Factors: C  (x-4)(x+3)

3. x^2-4x-12

a=1, c=-12

ac=-12 and add to b=-4

Factors: A  (x-6)(x+2)

4. x^2+4x-12

a=1, c=-12

ac=-12 and add to b=4

Factors: B  (x-2)(x+6)

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3 years ago
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Wittaler [7]

Answer:

c = 8

Step-by-step explanation:

Use synthetic division here; it's the fastest approach.

Given that (x + 2) is a factor, take -2 and use this as the divisor in synthetic division:

-2     4         c                1           2

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       ---------------------------------------------

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The remainder, 4c - 32, must equal zero if (x + 2) is a factor.

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6 0
3 years ago
All of them no words<br> extra points coming
KATRIN_1 [288]
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====================
4x + 5 > 25
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===================
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==================
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3 years ago
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