Question

Please help it's urgent.

Show the whole process step by step..​

Answer 1

Answer:

1. Yes

2. Yes

3. Yes

Step-by-step explanation:

1. p(x) = x³- 8

g(x) = x - 2

Zero of g(x)

=> g(x) => x - 2 = 0

=> x = 2

p(x) = x³ - 8

p(2) = 2³- 8

= 8 - 8

= 0

Therefore, g(x) is the factor of p(x)

2. p(x) = 2x³ + 7x² - 24x - 45

g(x) = x - 3

Zero of x - 3 =0

=> x = 3

p(x) = 2x³ +7x² - 24x -45

p(3) = 2(3)³ + 7(3)² -24(3) -45

= 54 + 63 - 72 - 45

= 117 - 117

= 0

Therefore, g(x) is the factor of p(x)

3. p(x) = 2x⁴ + 9x³ + 6x² - 11x -6

g(x) = x - 1

Zero of x - 1 = 0

=> x = 1

p(x) = 2x⁴ + 9x³ + 6x² - 11x - 6

p(1) = 2(1)⁴ + 9(1)³ + 6(1)² -11(1) - 6

= 2 + 9 + 6 -11 -6

= 11 - 11

= 0

Therefore, g(x) is the factor of p(x)

Hope it'll help you

Thanks.