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julia-pushkina [17]
2 years ago
13

Which polynomial is in standard form? 2xy^3 +3x^3 y^4 -4x^4 y^5 +9x^5 y^6 Which polynomial is in standard form?

Mathematics
1 answer:
andrezito [222]2 years ago
5 0

Answer:

(D) 5x^7y^2+7x^6y^5-14x^3y^7+51x^2y^9

Step-by-step explanation:

A polynomial is said to be in standard form when it is arranged in descending powers of x.

When there are more than one variable, the alphabetical order is followed. For example, if there are variables x and y in the polynomial, x must be in descending order and y will be in ascending order.

From the given options, the polynomial which is in standard form is:

5x^7y^2+7x^6y^5-14x^3y^7+51x^2y^9

The correct option is D.

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Answer:

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Step-by-step explanation:

The given parabola is

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We factor -3 from the first two terms to get:

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Add and subtract the square of half the coefficient of x

y =  - 3( {x}^{2}   - 16x + 64)   + 3 \times 64- 195

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We simplify to get:

y =  - 3 {(x - 8)}^{2}  - 3

We compare this to y=a(x-h)²+k,

The vertex is (h,k)=(8,-3)

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