1 Prepared by Maths Club Team-GHSS Kundamkuzhy, Kasaragod

www.mathsblogkky.blogspot.com

_lp]Z§Ä inãkn²m´w 1. P(x)=x3+2x2+x-5 F¶ _lp]Zs¯ (x-1) sIm-v lcn¨mepÅ inãw F{X ? 2. kx3+kx2-27x+20 F¶ _lp]Zs¯ (2x-3) sIm-v lcn¡qt¼mgpw (3x-2) sIm-v lcn¡qt¼mgpw inãw XpeyamW'. k bpsS hne ImWqI ? 3. q(x) F¶ _lp]Zs¯ (x-a) sIm-v lcn¡qt¼mgpw inãw k bpw r(x) F¶ _lp]Zs¯ (x-a) sIm-v lcn¡qt¼mgpw inãw -k bpw BW'. a) q(a) ImWqI. b) q(x)+r(x) F¶ _lp]Z¯nsâ Hcq LSIamW" x-a F¶v sXfnbn¡qI. 4. x3+px2-qx+6 F¶ _lp]Z¯nsâ Hcq LSIamW" (x-1). Cu _lp]Zs¯ (x+1) sIm-v lcn¨mÂ inãw 12 In«n. p,q ChbpsS hneIÄ ImWqI ? 5. a) s(x)=x3+6x2+11x-3 F¶ _lp]Zs¯ (x+1) sIm-pw (x+2) sIm-pw lcn¡qt¼mgpÅ inãw ImWqI. b) p(x)=x3+6x2+11x-3+k, bpsS LSI§fmW' (x+1), (x+2) Ch F¦nÂ k bpsS hne F´v?

LSIkn²m´w 6. p(x)=x3-3x2-x-3 sâ LSIamtWm (x-2) F¶v ]cntim[n¡qI. 7. 4x3-3x2+kx+3 F¶ _lp]Z¯nsâ Hcq LSIamW" (x+1) F¦nÂ k bpsS hne ImWqI ? 8. a) p(x)=x3+6x2+11x+6 sâ LSIamtWm (x+1) F¶v ]cntim[n¡qI. b) (x+2) F¶Xv p(x) sâ asämcq LSIw BbmÂ aq¶mas¯ LSIw ImWqI. 9. 3x3-2x2+5x F¶ _lp]Zt¯mSv GXv kwJy Iq«nbmemW' (x-1) LSIamb _lp]Zw In«p¶Xv ? 10. GXv H¶mwIrXn _lp]Zw 3x3-2x2 F¶ _lp]Zt¯mSv Iq«nbmÂ (x-1), (x+1) F¶nh LSI§fmb Hcq _lp]Zw In«pw ? www.mathsblogkky.blogspot.com

2

11. P(x) = 2x3-11x2+13x-8 F¶ _lp]Z¯nt\mSvIqSn GXv H¶mwIrXn _lp]Zw Iq«nbmÂ (x-2), (x-3) F¶nh LSI§fmb Hcq _lp]Zw In«pw ? P(x) s\ aq¶v H¶mwIrXnbnepÅ _lp]Z§fpsS KpW\^eambn FgpXpI. 12. P(x)=2x3-11x2+17x-6 Hcq _lp]ZamW'. a) P(x)=(x-2)*Q(x)+R BbmÂ R sâ hne F´v ? Q(x) FgpXpI. b) P(x) s\ aq¶v H¶mwIrXnbnepÅ _lp]Z§fpsS KpW\^eambn FgpXpI. 13. x2+3x-28 F¶ _lp]Zs¯ c-v H¶mwIrXn _lp]Z§fpsS KpW\^eambn FgpXpI ? 14. a) 6x2-7x+2 sâ Hcq LSIw (2x-1) BbmÂ c-mas¯ LSIw ImWqI. b) 6x2-7x+2=0 F¶ kahmIy¯nsâ ]cnlmc§Ä ImWqI. 15. ax3+bx2+cx+d F¶ _lp]Z¯nsâ Hcq LSIw (x+1) BbmÂ a+c=b+d F¶v sXfnbn¡qI? 16. P(x)= x3+6x2+11x-6+k bpsS LSI§fmW" (x+1), (x+2) Ch F¦nÂ k bpsS hne F´v ? 17. P(x)=x15-1 sâ LSIamtWm (x-2) F¶v ]cntim[n¡qI. 18. P(x)=x2+1 sâ LSIamtWm (x-2) F¶v ]cntim[n¡qI.

Prepared by Maths Club Team GHSS Kundamkuzhy, Kasaragod Dist.

www.mathsblogkky.blogspot.com

## Polynomial-mal.pdf

+cx+d FÂ¶ _lp]Z ÌnsÃ¢ Hcq LSIw (x+1) BbmÃ a+c=b+d FÂ¶v. sXfnbnÂ¡qI? 16. P(x)= x. 3. +6x2. +11x-6+k bpsS LSIÂ§fmW" (x+1), (x+2) Ch FÂ¦nÃ k bpsS hne F Ìv ? 17. P(x)=x15. -1 sÃ¢ LSIamtWm (x-2) FÂ¶v ]cntim[nÂ¡qI. 18. P(x)=x2. +1 sÃ¢ LSIamtWm (x-2) FÂ¶v ]cntim[nÂ¡qI. Prepared by Maths Club Team. GHSS Kundamkuzhy,. Kasaragod ...

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