From the given figure prove that i) ΔABC and ΔDEF are congruent ii) A F = DC

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Explanation:

1. ∠ABC ≅ ∠DEF ≅ 90° . . . . given

2. BC ≅ FE, BC║FE . . . . given

3. ∠BCF ≅ ∠EFC . . . . alternate interior angles

4. ΔABC ≅ ΔDEF . . . . ASA

5. CA ≅ FD . . . . CPCTC

6. FC ≅ CF . . . . reflexive property of congruence

7. CA -CF ≅ FD -FC . . . . addition property of equality

8. FA ≅ CD . . . . segment sum theorem

The Factor Theorem us that if is a factor of , then .

This means that substituting into the function will leave NO remainder and thus the value would be 0.

From the definition, we clearly see that if is a factor of , then plugging in into will give us a value of 0, or in other words, .

Second option is correct.

ANSWER: must be true.