Express the polynomial 2m^2-3+7m in standard form

1 answer:

6 0

Standard form is basically ordering it in order of decreasing powers, left to right, largest to biggest

powers of the placeholder, not of constants
we see we have 2nd degree and 1st
2>1
2m^2 then 7m^1 then -3m^0 or
2m^2+7m-3

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For the linear model, y = -67.9x + 679 , the distance, in miles y, is a function of time, x, in hours. Use the model to calculat

Ksenya-84 [330]

Answer:

339.5

Step-by-step explanation:

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Find a degree 4 polynomial having zeros -8,-1,4 and 5 and the coefficient of x^4 equal 1.

Keith_Richards [23]

Answer:

x^4 -53x^2 +108x +160

Step-by-step explanation:

If <em>a</em> is a zero, then (<em>x-a</em>) is a factor. For the given zeros, the factors are ...

p(x) = (x +8)(x +1)(x -4)(x -5)

Multiplying these out gives the polynomial in standard form.

= (x^2 +9x +8)(x^2 -9x +20)

We note that these factors have a sum and difference with the same pair of values, x^2 and 9x. We can use the special form for the product of these to simplify our working out.

= (x^2 +9x)(x^2 -9x) +20(x^2 +9x) +8(x^2 -9x) +8(20)

= x^4 -81x^2 +20x^2 +180x +8x^2 -72x +160

p(x) = x^4 -53x^2 +108x +160

_____

The graph shows this polynomial has the required zeros.