Equality of two polynomials

Equality of two polynomials

Definition

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If two or more terms contain the same variable (s)

For example, and
like terms.
However, 7xy and
are not like

Equal polynomials
Two polynomials are equal if and only if they

For example,
and are
equal polynomials.

2x2 + 3x = 5

2x2 + 3x= 9

x3 – 3x2

Recall that the degree of a polynomial is the same as

Let P(x)=anxn+an-1xn-1+…+a2x2+a1x and Q(x)=bmxm+bm-1xm-1+…+b2x2+b1x be two polynomials such that deg|Q(x)|≥deg|P(x)|. Then

Example Let P(x)=-6x4+5x3-2x+5, Q(x)=x5+x3+x, and R(x)=2x5+x4-x2 Find each sum. A) P(x)+Q(x) B)

Travel to the world.

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Pleasant and interesting travel to you

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