A challenge problem: the polynomial p(x) = x^3 + px^2 + qx + r has roots 1, 2 and 3. Using the factored form (x - 1)(x - 2)(x - 3), expand and identify the constant term r. What is the value of r?

Question

Accepted Answer

-6. (x - 1)(x - 2)(x - 3) = x^3 - 6x^2 + 11x - 6. The constant term is r = -6 (equal to -(1 x 2 x 3)).

A challenge problem: the polynomial $p (x) = x^{3} + p x^{2} + q x + r$ has roots 1, 2 and 3.
Using the factored form $(x - 1) (x - 2) (x - 3)$ , expand and identify the constant term $r$ .
What is the value of $r$ ?

Step-by-Step Solution

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More Class 9 Factor Theorem and Factorisation practice

A challenge problem: the polynomial p(x)=x3+px2+qx+r has roots 1, 2 and 3.Using the factored form (x−1)(x−2)(x−3), expand and identify the constant term r.What is the value of r?

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 9 Factor Theorem and Factorisation practice

A challenge problem: the polynomial $p (x) = x^{3} + p x^{2} + q x + r$ has roots 1, 2 and 3.
Using the factored form $(x - 1) (x - 2) (x - 3)$ , expand and identify the constant term $r$ .
What is the value of $r$ ?