Question

10. Find the remainder, when the polynomial p(x) = x - 5x + x-5 is divided by
1-3x​

Answer 1

Answer:

1-3x

x=-1/-3

x=1/3

p(x)=(1/3)-(5)(1/3)+(1/3)-5

(1/3)-(5/3)+(1/3)-(5)

(1-5+1)/3-(5)

-5-(5/3)

-15-5/3

-20/3

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Answer 2

Answer:

$p(x) = x - 5x + x - 5 \times (1 - 3x)\\ = x - 3 {x}^{2} - 5x + 15 {x}^{2} + x - 3 {x}^{2} - 5 + 15x \\ = 9 {x}^{2} + 12x - 5 \\ = a = 9 \\ b = 12 \\ c = - 5 \\ d = {b}^{2} - 4ac \\ = 144 - 4 \times 9 \times - 5 \\ = 144 + 180 \\ = d =3 24$

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