Question

please tell me the answer fast


answer should be correct otherwise I will report ​

Answer 1

Answer:

a=-3 and b=3

Step-by-step explanation:

Answer 2

Given:-

• p(x) = x⁴ + ax³ + 2x² - 3x + b
• (x + 1) and (x - 1) are the factors of p(x)

To find:-

• The value of a and b.

Answer:-

From factor theorem, we know that, (x - k) is a factor of a polynomial p(x) only if p(k) = 0.

Here it is given that, (x + 1) and (x - 1) are factors.

For (x + 1) = {x - (-1)} = (-1) is a zero of p(x).

And for (x - 1) = {x - (+1)} = 1 is a zero of p(x).

As (-1) and 1 are the zeroes, p(-1) = p(1) = 0.

p(1):

p(1) = 1⁴ + a(1³) + 2(1²) - 3(1) + b = 0

→ 1 + a + 2 - 3 + b = 0

→ a + b = 0 ...(1)

p(-1):

p(-1) = (-1)⁴ + a(-1³) + 2(-1²) - 3(-1) + b = 0

→ 1 - a + 2 + 3 + b = 0

→ a - b = 6 ...(2)

Adding equations (1) and (2), we get

a + b + a - b = 0 + 6

→ 2a = 6

→ a = 6/2

→ a = 3 ...(3)

From (1) and (3),

a + b = 0

→ 3 + b = 0

→ b = -3

Hence,

→ a = 3 and b = -3