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Solution


Q.

Shown below is a part of the graph of a polynomial h(x).

On dividing h(x) by which of the following will the remainder be zero

(i) (x – 2)
(ii) (x + 2)
(iii) (x – 4)
(iv) (x + 4)

Choose the correct option from the following:
1 only (ii)  
2 only (i) and (iii)  
3 only (ii) and (iv)  
4 cannot be determined without knowing the polynomial h(x).  

Ans.

(1)

Since the given graph intersects the x-axis at x = –2, therefore (x + 2) is a factor of h(x).

So, on dividing h(x) by (x + 2), we get remainder zero