Question

find a,b px=x3+10x2+ax+b
factors=x-1 and x-2

Answer 1

Answer:

a = -37 , b = 26

Step-by-step explanation:

By factor theorem ,

(i) x - 1 = 0 ⇒ x = 1

(ii) x - 2 = 0 ⇒ x = 2

So, now substituting x = 1 , 2 in the equation given, we get

p(1) = 1 + 10 + a + b = 0 ⇒ a + b = -11 ------(1)

p(2) = 2³ + 10*2² + 2a + b = 0 ⇒ 2a + b = -48 ------(2)

Subtract (2) from (1)

a + b = -11

2a + b = -48

(-)     (-)    (-)

--------------------

-a = 37  ⇒ a = -37

a + b = -11  ⇒ -37 + b = -11 ⇒ b = 26

a = -37 , b = 26

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