Question

Check whether the polynomial g(x) is a factor of f(x) or not :

f(x) = -5x³ - 3x² + 7x - 2
g(x) = 2 - 5x​

Answer 1

Answer:

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Step-by-step explanation:

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Answer 2

Answer:

g(x)=2-5x

=2-5x=0

=-5x=-2

$x = \frac{2}{5}$

p(x)=-5x³-3x²+7x-2

putting x=2/5

$- 5 \times ( \frac{2}{5} ) {}^{3} - 3 \times ( \frac{2}{5}) {}^{2} + 7 \times \frac{2}{5} - 2$

$- 5 \times \frac{8}{125} - 3 \times \frac{4}{25} + 7 \times \frac{2}{5} - 2 \\ = \frac{ - 8}{25} - \frac{12}{25} + \frac{14}{5} - \frac{2}{1} \\ = \frac{ - 8 - 12 + 80 - 50}{25} \\ = \frac{ - 70 + 80}{25} \\ = \frac{10}{25} \\ = \frac{2}{5}$

g(x) is not the factor of p(x)

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