Question

Answer [Q12] with steps

Answer 1

Answer:

        a = -2

Step-by-step explanation:

    x-2 is a factor of f(x) = 2x³ - 7x² + 11x + 5a

⇒  f(2) = 0

⇒  2×2³ - 7×2² + 11×2 + 5a = 0

⇒  16 - 28 + 22 + 5a = 0

⇒ 5a = -10

⇒  a = -2

Answer 2

Answer:

a = -2

Step by step explanation:

Step1 : put x-2 equal to 0

x-2=0

x = 2

Step2 : put the value of x in the polynomial

p(x) = 2x^3 - 7x^2 + 11x + 5a

p(2) = 2(2)^3 - 7(2)^2 + 11(2) + 5a

Step3 : multiply or solve the equation and put the equation equal to 0

2×8 - 7×4 + 22 +5a = 0

16 - 28 +22 +5a = 0

-12 + 22 +5a = 0

5a = -10

a = -2

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