Question

9. When a polynomial 2r? +382 + ax + b is divided by (x - 2) leaves remainder 2, and
(r +2) leaves remainder -2. Find a and b.​

Answer 1

Answer:

In mathematics, a polynomial is an expression consisting of variables and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponentiation of variables. An example of a polynomial of a single indeterminate x is x² − 4x + 7

Step-by-step explanation:

hope it helps u

tq

Answer 2

Step-by-step explanation:

thinking it as spelling errors, considered 2x3 + 3x2 + ax + b.

substituting x = 2,

2 x (2)3 + 3 x (2)2 + 2a + b = 2

2 × 8 + 3 × 4 + 2a + b = 2

16 + 12 +2a + b = 2

28 + 2a + b = 2

2a + b = 2 - 28 = -26

2a + b = -26...................(1)

substituting x =-2,

2 × (-2)3 + 3 x (-2)2 + a x (-2) + b = -2

2 × -8 + 3 × 4 -2a + b = -2

-16 + 12 -2a + b = -2

-4 -2a + b = -2

-2a + b = -2 +4

2a - b = 2..................(2)

substituting both equations 1 and 2,

We get 4a = -24

a= -24÷4 = -6.

b = -14