Choose the polynomial written in standard form. A) x2y2 + xy − 1 B) 10x3 + 14x2 − 4x4 + x C) x2 + x2y + 3 D) 5x + x3 − 3
So, no one knows..
you know what is a standard form of a polynomial?
No.
when the polynomial is written such that the power of all x's are in desecending order,,neglecting whatever their coefficients might be..is said to be in standard form was that clear?
no..
A) since the polynimial has degrees decreases from 2 and 1\[(xy)^{2}+(xy)-1\]
well,, x^4 - 3 x^2 + 6x^7 +9 is not in standard form,,because powers of x's are not in proper descending order.. but 6x^7 + x^4 -3x^2 + 9(x^0) is in standard form.. was it clearer this time?
now you should be able to come up with the ans..
put it in people terms. So I can understand..
Out of my 4 possible answers. Tell me the right one, but also tell me HOW to do it. So I can understand.
A) is correct since its the only one that has its powers ie (2,1,0) descending in order like in a general quadratic equation where \[ax ^{2}+bx+c\] this is a proper polynomial.The degree of the polynomial is the same as the highest degree of the terms in the polynimial eg the following are not not correct B) since the powers are (3,2,4,1) C) (2,2,0) D)(1,3,0) hence A)\[P(x,y)=x ^{2}y ^{2}+xy-1=(xy)^{2}+xy-1\] the powers(degrees are decreasing in order)
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