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निम्नलिखित बहुपदों के सम्मुख अंकित मान बहुपद के शून्यक है, सत्यापित कीजिए।(i) p(x) = -1; 3 = 1, -1 (i) p(*) =2x+1; 3=-(iii) p(31) = 4x +5;=(iv) p(x) = 33; 3 = 0(v) p(3) = (x-3)(x+5); x=3, -5(vi) p(3) = ar+b; x =-(vi) P(x) =3x’ -1; 3=-६६(vi) p(५) =3x+2; ४====\ |
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Answer» i) x^2-1; x=1, -1; (1)^2-1=1-1=0, (-1)^2-1=-1=1; (ii)2x-1; x=-1/2; 2(1/2)-1=1-1=0, (iii)4x+5; x=-5/4; 4(-5/4)+5=-5=5=0; (iv)3x^2; x=0; 3(0)^2=3(0)=0; (v)=( x-3)( x+5); x=3, -5; (3-3)(3+5)=0(8)=0; x=-5; (x-3)(x+5)=(-5-3)(-5+5)=('8)(0)=0;(vi)ax+b; x=-b/a; a(-b/a)+b=a(1/a)=0; (vii); 3x^2-1; x=-1/V3; 1/V3; 3(-1/V3)^2-1=3(1/3)-1=0; 3(1/V3)^2-1=3(1/3)-1=0; p(x)=3x+2; x=-3/2; =3(-3/2)+2=0 |
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