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neonofarm [45]
3 years ago
5

The product of a binomial and a trinomial is x 3 + 3 x 2 − x + 2 x 2 + 6 x − 2. Which expression is equivalent to this product a

fter it has been fully simplified?
Mathematics
2 answers:
3241004551 [841]3 years ago
6 0

Answer:

x^3+3x^2+5x+4

Step-by-step explanation:

We are given that  product of binomial and trinomial is

x^3+3x^2-x+2\times 2+6x-2

We have to find an expression equivalent to given product after it has been simplified.

x^3+3x^2-x+2\times 2+6x-2

Rearrange the terms in the given expression

x^3+3x^2-x+6x+2\times 2

Combine like terms

x^3+3x^2+5x+2\times 2

x^3+3x^2+5x+4

valkas [14]3 years ago
5 0

Answer:

x^3+3x^2+5x+2

Step-by-step explanation:

The product of a binomial and a trinomial is

x^3+3x^2-x+2 \times 2 +6x-2

we have to simplify that

x^3+3x^2-x+4+6x-2

bringing the like terms together we get

x^3+3x^2-x+6x+4-2

-x+6x = 5x

-2+4 = 2

hence our expression becomes

x^3+3x^2-x+6x+4-2=x^3+3x^2+5x+2

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Step-by-step explanation:

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We also know the area is 36 in². Using information we know, replace variables in the formula for area of a rectangle.

Substitute l = w + 5 and A = 36

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The width cannot be a negative number, so the width is 4.

Since we know the width, we can find the length because the length is 5 more than the width.

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Don't forget to include the units, inches.

Therefore the length is 9 inches and the width is 4 inches.

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