p(x)=3+4x-x^4-7x^6

what is the degree of p?

what is the leading coefficient of p?

What is the constant term of p?

What is the the coefficient of the x^4 term?

What is the coeffcient of the x^3 term?

Thanks

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- Apr 27th 2008, 12:43 AMgumialgebra
p(x)=3+4x-x^4-7x^6

what is the degree of p?

what is the leading coefficient of p?

What is the constant term of p?

What is the the coefficient of the x^4 term?

What is the coeffcient of the x^3 term?

Thanks - Apr 27th 2008, 12:48 AMMoo
Hello,

The degree of a polynomial is the highest power of x, with a coefficient different from 0.

The degree of $\displaystyle x^{\color{red}2}-4$ is 2.

The leading coefficient is the coefficient of x powered to the highest degree.

The constant term is the sole term which doesn't contain x.

In the previous example, the constant term was -4

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