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HACTEHA [7]
2 years ago
11

Factorise x cube -2x square -5x plus 6

Mathematics
1 answer:
zepelin [54]2 years ago
7 0

Answer:   {(x + 2), (x - 1), (x - 3)}

Step-by-step explanation:

Presented symbolically, we have:

x^3 - 2x^2 - 5x + 6

Synthetic division is very useful for determining roots of polynomials.  Once we have roots, we can easily write the corresponding factors.  

Write out possible factors of 6:  {±1, ±2, ±3, ±6}

Let's determine whether or not -2 is a root.  Set up synthetic division as follows:

-2   /   1   -2   -5   6

              -2     8   -6

     -----------------------

        1     -4      3    0

since the remainder is zero, we know for sure that -2 is a root and (x + 2) is a factor of the given polynomial.  The coefficients of the product of the remaining two factors are {1, -4, 3}.  This trinomial factors easily into {(x -1), (x - 3)}.

Thus, the three factors of the given polynomial are {(x + 2), (x - 1), (x - 3)}

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If the first quantity doubles, the second is divided by two. If the first quantity triples, the second is divided by 3.

Step-by-step explanation:

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3 years ago
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bazaltina [42]

Answer:

c. 0.9 cm, 1.2 cm, 1.8 cm

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3 years ago
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Hadley has 3/6 of a box of white envelopes and 1/3 of a box of gray envelopes. When full, each box of envelopes has the same num
QveST [7]

Answer:

<u>The two statements that apply are A and B.</u>

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

White envelopes Hadley has = 3/6 of a box

Gray envelopes Hadley has = 1/3 of a box

When full, each box of envelopes has the same number of envelopes

Hadley said she has 4/9 of a box when she puts the white envelopes and gray envelopes together.

2. Which statements describe this situation? Select the two statements that apply.

Let's add 3/6 and 1/3

3/6 + 1/3 = 3/6 + 2/6 = 5/6

A. Hadley’s answer is incorrect, because 3/6 is equal to 1/2 , and 4/9 is less then 1/2 .   This is correct.

B. Hadley's answer is incorrect, because 3/6 plus 1/3 equals 5/6.   This is correct.

C. Hadley's answer is incorrect, because 3/6 plus 1/3 equals 2/6.  This is wrong

D. Hadley's answer is correct, because 3 and 1 is 4, and 6 and 3 is 9. This is wrong.

<u>The two statements that apply are A and B.</u>

3 0
3 years ago
What percent of 146 is 39​
marissa [1.9K]

Answer:

<em>39 is 26.71% of 146</em>

Step-by-step explanation:

Percentage solution with steps:

Step 1: We make the assumption that 146 is 100% since it is our output value.

Step 2: We next represent the value we seek with x.

Step 3: From step 1, it follows that 100% = 146.

Step 4: In the same vein, x% = 39.

Step 5: This gives us a pair of simple equations:

100% = 146(1).

x%=39(2).

Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS (left hand side) of both equations have the same unit (%); we have

100/x% = 146/39

Step 7: Taking the inverse (or reciprocal) of both sides yields

x% / 100% = 39/146    ⇒ x= 26.71%

Therefore, 39 is 26.71% of 146.

<em>hope it helps:)</em>

7 0
3 years ago
Can you guys help we with this question. ​​​​​​
satela [25.4K]

Answer:

40

Step-by-step explanation:

(2x+1/(2x))^5 *(2x -1/(2x))^5

= ((2x)^2 -1/(2x)^2)^5 (a+b)*(a-b) =a2-b2

= (4x^2-1/4(x)^2)^5

now

x =4x^2. ,a = 1/4(x)^2 ,n =5

we have

general term = Cr *x^r *a^(n-r)

= Cr * (4x^2)^r * (1/4(x)^2)^(n-r)

= Cr *4^r * X^2r * 1/( 4^(n-r) *x^(2n-2r)

= Cr * 4^r/4^(n-r) * x^(2r)/x^(2n-2r)

= Cr * 4(2r-n) *x(4r-2n)

now for x^2

4r-2n = 2

4r -10=2

4r =12

r = 3

now for coeff

C(5,3) * 4^(2*3-5)

5!/(3!*(5-3)!) * 4

5*4/(2*1)*4

40

4 0
2 years ago
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