Mathematics, 29.01.2020 06:03 kingswriters3250

Which trinomial is factored?
x2 + 3x – 6
x2 + 5x – 6
x2 + 3x – 2
x2 + x – 6

Answers: 2

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Answer from: smithad382

The correct options are (B) x^2+5x-6 and (D) x^2+x-6.

Step-by-step explanation: we are given the correct trinomial that can be factored.

We know that a trinomial of the form x^2+ax+b can be factored if we find two real numbers 'c' and 'd' such that

c + d = a and c × d = b.

Option (A) is

x^2+3x-6.

Here, a = 3 and b = -6.

Since there are no 'c' and 'd' such that c + d = 3 and c × d = -6, so this trinomial cannot be factored.

Option (B) is

x^2+5x-6.

Here, a = 5 and b = -6.

Since -6 + 1 = -5 and -6 × 1 = -6, so this trinomial can be factored. The factorization is as follows:

$x^2+5x-6\\\\=x^2+6x-x-6\\\\=x(x+6)-1(x+6)\\\\=(x-1)(x+6).$

Option (C) is

x^2+3x-2.

Here, a = 3 and b = 2.

Since there are no 'c' and 'd' such that c + d = 3 and c × d = -2, so this trinomial cannot be factored.

Option (D) is

x^2+x-6.

Here, a = 1 and b = -6.

Since 3 + (-2) = 1 and 3 × (-2) = -6, so this trinomial can be factored. The factorization is as follows:

$x^2+x-6\\\\=x^2+3x-2x-6\\\\=x(x+3)-2(x+3)\\\\=(x-2)(x+3).$

Thus, Options (B) and (D) are correct.

Answer from: yohannaG4315

The correct answer is D on edge.

Step-by-step explanation:

Answer from: Quest

x = 17

step-by-step explanation:

1st step: isolate x.

24 - 3x = -27

-24 -24

-3x = -51

2nd step: divide.

-3x = -51

3 3

x = 17

hope this

Answer from: Quest

answer: a video game has three difficulty levels: easy, medium, and expert. the game's scoring works in such a way that a player has to score a fixed number of points to advance to the next level, and then the scoring starts over. the total score needed to clear all three difficulty levels is 7,500. two times the number of points needed to clear the easy level is 500 more than the number of points needed to clear the medium level. twice the number of points needed to clear the medium difficulty level is 1,500 more than the number of points needed to clear the expert level. if x, y, and z represent the easy, medium, and expert levels, respectively, and a is the coefficient matrix of the system of equations modeling this situation, identify the inverse matrix, a-1, and the solution matrix, x, of the system of equations.

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Which trinomial is factored?
x2 + 3x – 6
x2 + 5x – 6
x2 + 3x – 2
x2 + x –...