Question

if the polynomial p(x)=x^4-2x^2+3x^2-9x-8 is divided by (x-z) it leaves a remainder 10, find'a'​

Answer 1

Answer:  ∵ p(x) = 5x – 4x2 + 3 = 5(x) – 4(x)2 + 3

                 ∴ p(0) = 5(0) – 4(0) + 3 = 0 – 0 + 3 = 3

                 Thus, the value of 5x – 4x2 + 3 at x = 0 is 3.

        (ii)   ∵ p(x) = 5x – 4x2 + 3 = 5(x) – 4(x)2 + 3

                ∴ p(–1) = 5(–1) – 4(–1)2 + 3 = – 5 – 4(1) + 3

                = –5 – 4 + 3 = –9 + 3 = –6

                ∴ The value of 5x – 4x2 + 3 at x = –1 is –6.

        (iii)  ∵ p(x) = 5x – 4x2 + 3 = 5(x) – 4(x)2 + 3

                ∴ p(2) = 5(2) – 4(2)2 + 3 = –10 – 4(4) + 3

                = 10 – 16 + 3 = –3

Thus the value of 5x – 4x2 + 3 at x = 2 is –3

Step-by-step explanation: