If a polynomial p x has a factor x - a - then p a -0-A- FalseB- True

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Standard IX

Mathematics

Factor Theorem

If a polynomi...

Question

If a polynomial p(x) has a factor (x - a), then p(a) = 0.

True

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False

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Solution

The correct option is A
True

According to the factor theorem,
If p(a) = 0, then (x-a) is a factor of p(x).
Thus, the given statement is true.

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If a polynomial p(x) has a factor (x-a), then p(a)=0.

The factor theorem states that if there is a polynomial of degree greater than or equal to one and ‘a’ be a real number. If P(a) = 0 then x – a is the factor of the polynomial P(x). Is this true or false?

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If a polynomial p(x) has a factor (x - a), then p(a) = 0.

The correct option is A True According to the factor theorem, If p(a) = 0, then (x-a) is a factor of p(x). Thus, the given statement is true.

The correct option is A
True

According to the factor theorem,
If p(a) = 0, then (x-a) is a factor of p(x).
Thus, the given statement is true.