Which expressions are equivalent to 2(b+3c)2(b+3c)2, left parenthesis, b, plus, 3, c, right parenthesis ?

Mathematics

1 answer:

lianna [129]1 year ago

6 0

Answer:

Step-by-step explanation:

Given this expression 2(b+3c), its equivalent expression is derived by simply opening up the bracket as shown below;

Open the parenthesis by multiplying the constant outside the bracket with all the variables in parenthesis.

= 2(b+3c)

= 2(b)+ 2(3c)

= 2b +2*3*c

= 2b +6c

It can also be written as sum of b+3c in 2 places i.e (b+3c)+(b+3c) because multiplying the function b+3c by 2 means we are to add the function by itself in two places.

Hence the equivalent expression are (b+3c)+(b+3c) and 2(b)+2(3c) or 2b+6c

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AnnZ [28]

Answer:

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2 years ago

According to the Fundamental Theorem of Algebra, which polynomial function has exactly 8 roots?f(X) 3x4 +2xfox)- (6x -4x5-10 3x2

mina [271]

Answer:
A. (3x²-4x-5)(2x⁶-5)

Explanation:
The fundamental theorem of Algebra states that:
"A polynomial of degree 'n' will have exactly 'n' number of roots"

We know that the degree of the polynomial is given by the highest power of the polynomial.
Applying the above theorem on the given question, we can deduce that the polynomial that has exactly 8 roots is the polynomial of the 8th degree

Now, let's check the choices:
A. (3x²-4x-5)(2x⁶-5)
The term with the highest power will be (3x²)(2x⁶) = 6x⁸
Therefore, the polynomial is of 8th degree which means it has exactly 8 roots. This option is correct.

B. (3x⁴+2x)⁴
The term with the highest power will be (3x⁴)⁴ = 81x¹⁶
Therefore, the polynomial is of 16th degree which means it has exactly 16 roots. This option is incorrect.

C. (4x²-7)³
The term with the highest power will be (4x²)³ = 64x⁶
Therefore, the polynomial is of 6th degree which means that it has exactly 6 roots. This option is incorrect

D. (6x⁸-4x⁵-1)(3x²-4)
The term with the highest power will be (6x⁸)(3x²) = 18x¹⁰
Therefore, the polynomial is of 10th degree which means that it has exactly 10 roots. This option is incorrect

Hope this helps :)

6 0

1 year ago

Read 2 more answers

The isosceles triangle has a base that measures 14 units. The value of y, the length of each leg, must be equal to 7. between 7

Dvinal [7]

1.The isosceles triangle has sides of length 14, y, y

2. According to the "triangle inequality" :

y+y>14
2y>14
y>14/2=7

(y is greater than 7)

3. Remark, check the figures:

the side lengths cannot be less than (neither equal to 7), because we cannot get a triangle in that case, check picture 2

In picture 1 wee see that the side lengths can be as large as we want. We can erect an altitude, as high as we want. Pick a point on the altitude, and join it to the endpoints of the base, and we get an isosceles triangle with base equal to 14.