1.Verify whether g(x) is a factor of f(x).f(x)=6x res to the power 5-x res to the power 4+4x cube-5x square-x-15 g(x)=2x square-px+3

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Q. Question 15
Check whether p(x) is a multiple of g(x) or not:

(i)

p (x) = x^{3} - 5 x^{2} + 4 x - 3, g (x) = x - 2

(ii)

p (x) = 2 x^{3} - 11 x^{2} - 4 x + 5, g (x) = 2 x + 1

Q. Question 15
Check whether p(x) is a multiple of g(x) or not:

(i)

p (x) = x^{3} - 5 x^{2} + 4 x - 3, g (x) = x - 2

(ii)

p (x) = 2 x^{3} - 11 x^{2} - 4 x + 5, g (x) = 2 x + 1

Use the Factor Theorem to determine whether g(x) is a factor of p(x) in each of the following cases:
(i) p(x)=2 $x^{3}$ + $x^{2}$ −2x−1,g(x)=x+1
(ii) p(x)= $x^{3}$ +3 $x^{2}$ +3x+1,g(x)=x+2
(iii) p(x)= $x^{3}$ −4 $x^{2}$ +x+6,g(x)=x−3

Q. Question 2
Use the Factor Theorem to determine whether g(x) is a factor of p(x) in each of the following cases:

(i) p (x) = 2 x^{3} + x^{2} - 2 x - 1, g (x) = x + 1

(i i) p (x) = x^{3} + 3 x^{2} + 3 x + 1, g (x) = x + 2

(i i i) p (x) = x^{3} - 4 x^{2} + x + 6, g (x) = x - 3

Use the factor theorem to determine and state whether

g (x)

is a factor of

p (x)

p (x) = 2 x^{3} + x^{2} - 2 x - 1, g (x) = x + 1

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1.Verify whether g(x) is a factor of f(x).f(x)=6x res to the power 5-x res to the power 4+4x cube-5x square-x-15 g(x)=2x square-px+3

Dear student, The question is not clear. Please upload an image with the clear question . Thankyou

Dear student,
The question is not clear. Please upload an image with the clear question .
Thankyou