Use The Factor Theorem To Determine Whether G(x) Is A Factor Ofp(x) In ...

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F(x)=x^3-6x^2+2x-4 G(x)=1-3x
F(x)=x^3-6x^2+9x+5 G(x)=-x^2+7x-3
F(x)=x^3-9x G(x)=x^2-2x-3
F(x)=x^3+kx^2-4x-12
F(x)=x-6 G(x)=x2

Advertisement Zigya App Use the factor theorem to determine whether g(x) is a factor ofp(x) in each of the following cases: p(x) = x3 - 4x2 + x + 6, g(x) = x - 3

p(x) = x3 - 4x2 + x + 6, g(x) = x - 3g(x) = 0⇒ x - 3 = 0 ⇒ x = 3∴ Zero of g(x) is 3.Now, p( 3)= (3)3 - 4(3)2 + 3 + 6= 27 - 36 + 3 + 6 = 0∴ By factor theorem, g(x) is a factor of p{x).

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