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Neko [114]
3 years ago
9

Multiply the polynomial (3x^2+3x+5)(6x+4)

Mathematics
2 answers:
OLga [1]3 years ago
8 0

Answer:

18x³+30x²+42x+20

Cerrena [4.2K]3 years ago
7 0

Answer:  The required multiplied expression is 18x^3+30x^2+42x+20.

Step-by-step explanation:  We are given to multiply the following polynomial :

P=(3x^2+3x+5)(6x+4)~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)

To multiply the given expressions, we must multiply each term of one expression to every term of the other expression.

The multiplication of (i) is as follows :

P\\\\=(3x^2+3x+5)(6x+4)\\\\=6x(3x^2+3x+5)+4(3x^2+3x+5)\\\\=18x^3+18x^2+30x+12x^2+12x+20\\\\=18x^3+30x^2+42x+20.

Thus, the required multiplied expression is 18x^3+30x^2+42x+20.

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Every irrational number is a real justify your answer<br>​
vivado [14]

Step-by-step explanation:

A real number MUST be able to be represented on a number line.

All numbers can be placed on a number line including irrational numbers.

Numbers like π can be placed between 3.13 and 3.15. It is a number.

Numbers like x or ∑ isn't a "REAL" number because it has no value.

5 0
3 years ago
I can’t remember how to do this if I try a bit longer I can probably figure it out but not sure exactly. Please If anyone can he
UNO [17]

Answer:

£2.38

Step-by-step explanation:

2.5 cost £1.40

4.25 cost £ x

so x=(4.25*1.40)/2.5=5.95/2.5=£2.38

5 0
2 years ago
An equation is shown below:
gayaneshka [121]
6(2x-11)+15=3x+12 Given
12x-66+15=3x+12 Distribution
12x-51=3x+12 Combine like terms
12x=3x+63 addition
9x=63 subtraction
x=7 division

the value of x that makes the equation true is 7.

8 0
2 years ago
How to combine like terms
aev [14]

Example: 1x+2y+3z+4a+5x+6y+7z+8+9

We can see that there is more than one number with the variable x, therefore, we say they're ''like terms'' and because of that they can be summed. We do this with all of the other numbers with similar variables. If no numbers with similar variables are left, like 4a, you don't do anything but write them as they are. You can also see that 8 and 9 can also be summed because neither of them has a variable, therefore they're similar.

In this step, you just do the operation with the numbers and keep the same variable.

(1x+5x)+(2y+6y)+(3z+7z)+4a+(8+9)

(6x)+(8y)+(10z)+4a+(17)

since there are not more numbers similar in variables, this operation is done.

6x+8y+10z+4a+17

8 0
3 years ago
Let p = x2 + 6.<br> Which equation is equivalent to (22 + 6)2 – 21 = 4x2 + 24 in terms of p?
Alona [7]

Answer:

\frac{35}{4} =p

Step-by-step explanation:

p=x^{2} +6,

(22+6)2-21=4x^{2} +24

44+12-21=4x^{2} +24

35=4x^{2} +24,

If you factor out the equation, you get that 35=4p(if you factor it out)

Therefore,\frac{35}{4} =p

4 0
3 years ago
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