Riya is checking whether (x - 5) divides the polynomial p(x) = x^2 - 8x + 15 exactly. She substitutes x = 5 into the polynomial. What result confirms that (x - 5) is indeed a factor?

Question

Accepted Answer

p(5) = 0. p(5) = 25 - 40 + 15 = 0. A zero remainder confirms (x - 5) is a factor by the Factor Theorem.

Riya is checking whether $(x - 5)$ divides the polynomial $p (x) = x^{2} - 8 x + 15$ exactly.
She substitutes $x = 5$ into the polynomial.
What result confirms that $(x - 5)$ is indeed a factor?

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More Class 9 Factor Theorem and Factorisation practice

Riya is checking whether (x−5) divides the polynomial p(x)=x2−8x+15 exactly.She substitutes x=5 into the polynomial.What result confirms that (x−5) is indeed a factor?

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 9 Factor Theorem and Factorisation practice

Riya is checking whether $(x - 5)$ divides the polynomial $p (x) = x^{2} - 8 x + 15$ exactly.
She substitutes $x = 5$ into the polynomial.
What result confirms that $(x - 5)$ is indeed a factor?