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State factor theorem....

State factor theorem.

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Use the factor theorem to determine whether g (x) is a factor of p (x) in the following case : p(x)=x^3-4x^2+x+6,g(x)=x-3 .

Use the factor theorem to determine whether g (x) is a factor of p (x) in the following case : p(x)=x^3+3x^2+3x+1,g(x)=x+2 .

Use factor theorem to verify that (x+a) is a factor of x^n+a^n for any odd positive integer.

Use factor theorem to verify in the following that q(x) is a factor of p(x)= x^3+3x+4, q(x)=x+1 .

Use factor theorem to verify in the following that q(x) is a factor of p(x)= 2x^3+5x^2-3x-4, q(x)=x-1 .

Use factor theorem to verify in the following that q(x) is a factor of p(x)=2x^3-9x^2+x+12,q(x)=2x-3 .

Use factor theorem to verify in the following that q(x) is a factor of p(x)=3x^3+x^2-20x+12,q(x)=3x-2 .

Use factor theorem to verify in the following that q(x) is a factor of p(x)=3x^6-7x^5+7x^4-3x^3+2x^2-2,q(x)=x-1 .

Factorise y^2 - 5y + 6 by using the Factor Theorem.

Using factor theorem, factorize the polynomial x^2 - 5x -6 .