Question

Divide the following polynomials by trinomials.
(a) x^4+ 4x^3 + x – 10 by x^2+3x-5​

Answer 1

Answer:

(c) -1

Let f(x) = ax3 + 4x2 + 3x – 4

g(x) = x3 – 4x + a.

Remainders when f(x) and g(x) are divided by (x – 3) are f(3) and g(3) respectively. Now,

f(3) = a. (3)3 + 4.(3)2 + 3.3 – 4

= 27a + 36 + 9 – 4 = 27a + 41 ...(i)

g(3) = (3)3 – 4.(3) + a = 27 – 12 + a = 15 + a ...(ii)

Given, f(3) = g(3)

∴ 27a + 41 = 15 + a ⇒ 26a = – 26 ⇒ a = – 1.

Answer 2

Answer:

hi

Step-by-step explanation:

how are you . Good night