Question

Verify whether the following are zeros of the polynomial indicated against them, or
not.
(i) p(x)=2x-1,x=1/2 (ii) p(x)=x3-1,x=1
(iii) p(x)=ax+b,x=-b/a (iv) p(x) = (x+3)(x-4)), x=4,x=3

Answer 1

Hi pupil here's your answer ::

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please see the attached answer

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hope that it helps. . . . . . .

Answer 2

Answer:

(i) 0

(ii) 0

(iii) 0

(iv) 0, - 6

Step-by-step explanation:

In the question

(i)$p(x) = 2x - 1$

$x = \frac{1}{2}$

For check put the value of x in p(x)

$p(\frac{1}{2}) = 2\times\frac{1}{2}\ -\ 1$

 = 1 - 1

 = 0

Yes, It's zero.   (Answer)

(ii) $p(x) = x^{3}\ -\ 1$

$x = 1$

$p(1) = 1^{3}\ -\ 1$

  = 1 - 1

  = 0

Yes, It's zero.    (Answer)

(iii) $p(x) = ax\ +\ b$

$x = -\frac{b}{a}$

$p(-\frac{b}{a}) = a(-\frac{b}{a})\ +\ b$

= - b + b

= 0

Yes, It's zero.   (Answer)

(iv) $p(x) = (x\ +\ 3)(x\ -\ 4)$

when  $x = 4$

p(4) = (4 + 3)(4 - 4)

 = 7 x 0

 = 0

Yes, It's zero.    (Answer)

when  $x = 3$

p(3) = (3 + 3)(3 - 4)

  = 6 x (-1)

  = - 6

No, It's not zero.  (Answer)