Question

Find the value of ' a ' and ' b ' so that the polynomial x³ + ax² + bx - 45 has ( x - 1 ) and ( x + 5 ) as its factors. Find the third factor .

Answer 1

x- 1

x = 1

and x +5

x = - 5

x³ + ax² + bx - 45

putting x value 1

1 ³ + a(1)² + b ( 1 ) - 45

1 + a + b - 45

a + b - 44

a + b = 44

putting - 5

-5³ + a(-5)² + b (-5) - 45

-125 + a25 - b5 - 45

a25 - b5 - 170

a25 - b5. = 170

a. + b = 45

a25 - b5 = 170

- +. -

25 + b 6. = - 125

b6 = - 125 - 25

b6 = - 150

b = -150/ 6

b = -25

a + b = 45

a - 25 = 45

a = 45 - 25

a = 70

Answer 2

Step-by-step explanation:

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