Question

use the factor theorem to determine whether (x-1) is a factor of x^3+8x^2-7x-2

Answer 1

Step-by-step explanation:

(x-1)=0

x=1

Put values

1^3 + 8(1)^2 - 7(1) - 2

1 + 8 - 7 - 2

9-9

0

if zero is your answer in remainder therorem then you can say that it is the factor

Answer 2

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Use the factor theorem to determine whether (x-1) is a factor of x³ + 8x² - 7x - 2

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$x {}^{3} + 8x {}^{2} - 7x - 2$

• Find zero of x

x - 1 = 0

x = 1

• Put x = 1

$1 {}^{3} + 8(1) {}^{2} - 7(1) - 2 \\ \\ 1 + 8 - 7 - 2 \\ \\ 9 - 7 + 2 \\ \\ 9 - 9 \\ \\ 0$

$\large{\bigstar{\pmb{\color{orange}{\sf{@Ishu♡~}}}}}$