Synthetic division serves as a streamlined technique for dividing a polynomial by a linear binomial, focusing strictly on the coefficients. This method provides an efficient means to ascertain if a specific value is a factor of the polynomial. If the outcome of the synthetic division is a zero remainder, we can conclude that the binomial is indeed a factor.
| Topic | Problem | Solution |
|---|---|---|
| None | Use synthetic division to find the quotient and r… | First, we set up the synthetic division with $2$ as the divisor and the coefficients of $9 x^{6}-5 … |
| None | (c) (i) Show that $P(x)=x^{4}-3 x^{3}-15 x^{2}-17… | Let $x$ be a triple zero of $P(x) = x^4 - 3x^3 - 15x^2 - 17x - 6$. Then $P(x) = (x - a)^3(x - b)$ f… |