🗊Презентация Equality of two polynomials

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Equality of two polynomials, слайд №1Equality of two polynomials, слайд №2Equality of two polynomials, слайд №3Equality of two polynomials, слайд №4Equality of two polynomials, слайд №5Equality of two polynomials, слайд №6Equality of two polynomials, слайд №7Equality of two polynomials, слайд №8Equality of two polynomials, слайд №9Equality of two polynomials, слайд №10Equality of two polynomials, слайд №11Equality of two polynomials, слайд №12Equality of two polynomials, слайд №13Equality of two polynomials, слайд №14Equality of two polynomials, слайд №15Equality of two polynomials, слайд №16Equality of two polynomials, слайд №17Equality of two polynomials, слайд №18Equality of two polynomials, слайд №19Equality of two polynomials, слайд №20Equality of two polynomials, слайд №21Equality of two polynomials, слайд №22Equality of two polynomials, слайд №23Equality of two polynomials, слайд №24Equality of two polynomials, слайд №25Equality of two polynomials, слайд №26Equality of two polynomials, слайд №27

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Equality of two polynomials, слайд №1
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Equality of two polynomials, слайд №2
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Equality of two polynomials, слайд №3
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For example,             and                
For example,             and                
like terms.
However, 7xy and                   
 are not like terms .
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For example, and For example, and like terms. However, 7xy and are not like terms .

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Equality of two polynomials, слайд №5
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For example,          
For example,          
  
 and                                        are 
equal  polynomials.
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For example, For example, and are equal polynomials.

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Equality of two polynomials, слайд №7
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Recall that the degree of a polynomial is the same as the highest degree of the terms in the polynomial. We write deg|P(x)| to mean the degree of a polynomial function P(x). For example, if P(x)=x3-x2+1, then deg|P(x)| =3.
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Recall that the degree of a polynomial is the same as the highest degree of the terms in the polynomial. We write deg|P(x)| to mean the degree of a polynomial function P(x). For example, if P(x)=x3-x2+1, then deg|P(x)| =3.

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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 the sum of these polynomials is defined as P(x)+Q(x)=bmxm+…+(an+bn)xn+(an-1+bn-1)xn-1+…+(a2+b2)x2+(a1+b1)x+a0+b0
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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 the sum of these polynomials is defined as P(x)+Q(x)=bmxm+…+(an+bn)xn+(an-1+bn-1)xn-1+…+(a2+b2)x2+(a1+b1)x+a0+b0

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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) P(x)+R(x)		C) R(x)+Q(x)	

A) P(x)+Q(x)=x5-6x4+6x3-x+5					

B)P(x)+R(x)= 2x5-5x4+5x3- x2 -2x+5				

    C) R(x)+Q(x)= 3x5-x4+x3- x2 +x
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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) P(x)+R(x) C) R(x)+Q(x) A) P(x)+Q(x)=x5-6x4+6x3-x+5 B)P(x)+R(x)= 2x5-5x4+5x3- x2 -2x+5 C) R(x)+Q(x)= 3x5-x4+x3- x2 +x

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Equality of two polynomials, слайд №11
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Equality of two polynomials, слайд №13
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Equality of two polynomials, слайд №14
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Equality of two polynomials, слайд №15
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Equality of two polynomials, слайд №16
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Equality of two polynomials, слайд №17
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Equality of two polynomials, слайд №18
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Equality of two polynomials, слайд №19
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Equality of two polynomials, слайд №20
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Equality of two polynomials, слайд №21
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Equality of two polynomials, слайд №22
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Equality of two polynomials, слайд №23
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Equality of two polynomials, слайд №24
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Equality of two polynomials, слайд №25
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Pleasant and interesting travel to you
Pleasant and interesting travel to you
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Pleasant and interesting travel to you Pleasant and interesting travel to you

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Equality of two polynomials, слайд №27
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