Question

Please solve these questions....

Answer 1

solution of question is in above pic

Answer 2

Hello Mate!

(i) f(x) = 2x³ + 7x² - 3

[A] f(1), this means that value of x is when 1 then

f(1) = 2(1)³ + 7(1)² - 3

= 2 + 7 - 3 = 6

Hence then value is 6

[B] f(0), this means that value of x is when 0 then

f(0) = 2(0)³ + 7(0)² - 3

= - 3

Hence then value is - 3.

(ii) [A] In order to find roots, we must find such value of x where final value of p(x) comes "0".

f(x) = x³ + 8

0 = x³ + 8

- 8 = x³

- 2 = x.

Hence root of x³ + 8 is - 2.

[B] f(x) = 4x

0 = 4x => x = 0.

Hence root of 4x is 0.

(iii) In order to identity polynomial, remember that,

1. The variable x should not be in denominator.

2. The exponent of x should not be in farction i.e should not be under any root.

[A] x² - 5x + 2/x ( Wrong, violates 1st point )

[B] x² + x ( Right, it is! )

[C] x - 7√x ( Wrong, violates 2nd point )

Have great future ahead!