Question

1.) if P(x) = x^3 + 3x^2 + 4, find the value of p(-2)+p(1)+p(0).


2.) if x= -1/3 is a zero of a polynomial p(x)=ax^2-x+3 than find the value of a.


3.) verify if -3 & 4 are zeros of the polynomial 2x yes

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Answer 1

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8th

Maths

Factorisation

Division of Algebraic Expressions

The value of p for which th...

MATHS

The value of p for which the polynomial x

3

+4x

2

−px+8 is exactly divisible by (x−2) is

EASY

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ANSWER

Let the function be represented by f(x).

As x−2, exactly divides f(x), 2 is the zero of f(x)

Hence, f(2)=0.

f(x)=x

3

+4x

2

−px+8

⇒f(2)=2

3

+4×2

2

−p×2+8=0

⇒2p=32

⇒p=16

Answer 2

Answer

p(2) + p(-2) - p(0) = 28

Step By Step Explanation

p(2) + p(-2) - p(0)

= [2³ + 3(2)² - 2(2) + 4] + [(-2)³ + 3(-2)² - 2(-2) + 4] - [0³ + 3(0)² - 2(0) + 4]

= [8 + 3(4) - 4 + 4] + [-8 + 3(4) - (-4) + 4] - [0 + 3(0) - 0 + 4]

= [8 + 12 - 4 + 4] + [-8 + 12 + 4 + 4] - [0 + 0 - 0 + 4]

= [8 + 12] + [-8 + 12 + 8] - [4]

= 20 + 12 - 4

= 32 - 4

= 28