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Earn +20 ptsQ: The binominals are degree of (x 7)(x-3)?
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What is the polynomial and degree of 7x3 6x2 -2?
The polynomial 7x3 + 6x2 - 2 has a degree of 3, making it cubic.
What is a degree of a real polynomial?
The degree is the highest power of the variable. For example, x5 + 3x3 - x + 4 is of degree 5, since the highest power of "x" is 5.
Is 2 a polynomial?
Yes, f(x) = 2 is a polynomial of degree 0 (because there are no x terms).
Can two third-degree polynomials be added to produce a second-degree polynomial?
Yes. If the coefficient of the third degree terms in one polynomial are the additive inverses (minus numbers) of the coefficient of the corresponding terms in the second polynomial. Eg: 3x3 + 2x2 + 5 and -3x3 + x - 7 add to give 2x2 + x - 2
Can the sum of two polynomials with x as the variable both starting as degree 4 simplify to be of degree 3?
Yes. If and only if the coefficients of x4 are of the same magnitude and opposite sign.
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