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# POLYNOMIALS OF CLASS 10

KEY POINTS
Published on: Mar 4, 2016
Published in: Education      Technology

#### Transcripts - POLYNOMIALS OF CLASS 10

• 1. BY:- SANJAY KUMAR MAHTO KAILASH ROY SARASWATI VIDYA MANDIR, JHUMRI TELAIYA (KODERMA)
• 2.  The most general form of a n-degree polynomial is represented by:- 01 2 2 1 1 .........)( axaxaxaxaxp n n n n n n +++++= − − − − 011 ,,......., aaaa nn −,where n is a positive and,where n is a positive and are real numbers andare real numbers and oan ≠
• 3. 1.Zeroes of a polynomial:- k is said to be zero of a polynomial if 2.Graph of a polynomial:- (a). Graph of a linear polynomial is a straight line. (b) .Graph of a quadratic polynomial is a parabola open upwards like , if (c). Graph of a quadratic polynomial is a parabola open downwards like , if (d.) In general a polynomial of degree n crosses the x-axis at atmost n points. )(xp 0)( =kp bax + cbxaxxp ++= 2 )( cbxaxxp ++= 2 )( 0>a oa < )(xp  
• 4. 1.If are zeroes/roots of ,then Sum of roots Product of roots 2.If are roots/zeroes of a quadratic polynomial ,then βα, cbxaxxp ++= 2 )( 2 oftcoefficien )oftcoefficien( x x a b − =+⇒ − =+= βαβα 2 oftcoefficien ermconstant t xa c =⇒== αβαβ βα, )(xp constant.aiskwhere zeroes}ofproductzeroes)ofsum({)( })({)( 2 2 +−=⇒ ++−= xxkxp xxkxp αββα