Mathematics, 26.02.2022 06:30 panpanriser76

Simplify the expression to a polynomial in standard form:
(-4x-3)(2x^2-3x+4)

Answers: 1

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Answer from: erstaabi000

y=-8x^3+6x^2-7x-12

Step-by-step explanation:

Standard Form of a Polynomial is having an order of numbers with the higher exponents being first and it going lower throughout the order.

ax^2 + bx + c

In this case we have (-4x-3)(2x^2-3x+4) , to get one polynomial all together, multiply the two parenthesis using FOIL.

FOIL

Front, multiply the first numbers in each parenthesis,

-4x * 2x^2

-8x^3

FOIL

Outer, multiply the first number by the rest of the numbers within the second parenthesis,

-4x * -3x

12x^2

-4x * 4

-16x

At this point, we should have,

-8x^3 + 12x^2 - 16x

FOIL

Inner, multiply the second number by the first number within both parenthesis,

-3 * 2x^2

-6x^2

-8x^3 + 12x^2 - 16x - 6x^2

FOIL

Last, multiply the second number by the rest of the numbers within the second parenthesis,

-3 * -3x

-3 * 4

-12

Now that we finished, you should have,

-8x^2+12x^2-16x-6x^2+9x-12

Now combine like terms, meaning adding/subtracting/multiplying/dividing numbers that have the same exponent or variable ending only.

-8x^2+[12x^2]-16x[-6x^2]+9x-12

-8x^2+6x^2 -16x+9x-12

-8x^2+6x^2 [-16x+9x]-12

-8x^2+6x^2 -7x-12

[y=-8x^2+6x^2 -7x-12]

is our answer.

Answer from: Quest

answer:

payment just for service

→

87.12

payment for service including tax

→

94.09

explanation:

service only with 20% tip

→

72.6

(

100

)

87.12

in the opening of the question the word 'service' is associated only with the pretax value.

the closing part of the question asks: how much did she pay for the

service

−−−−−−

so technically the answer is

→

72.6

(

100

)

87.12

however, the intention of the question provider may have been that your answer is to be

87.12

(

100

)

94.09

to 2 decimal places.

payment just for service

→

87.12

payment for service including tax

→

94.09

tony b

mar 21, 2017

answer:

trying to explain it another way

explanation:

service charge

→

72.60

20% tip

100

72.60

14.52

−−−−−−

←

add

87.12

tax

100

87.12

6.97

−−−−−

←

add

94.09

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Simplify the expression to a polynomial in standard form:
(-4x-3)(2x^2-3x+4)...

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