# Practice for Swapnil!

Algebra Level 4

If a polynomial $$p(x)$$,when divided by $$(x-a)$$,leaves a remainder of $$b$$,and when divided by $$(x-c)$$,leaves a remainder of $$z$$, then what is the remainder when $$p(x)$$ is divided by $$(x-a)(x-c)$$,if the answer is of the form,$\dfrac{b(p-c)+z(a-p)}{a-c}$, then what is the value of $$p$$?

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