10. Show that the polynomial p(x)=x²-3x³-x² - 4x-20 has at least two distinct roots (Hin use the Intermediate Value Theorem with two intervals that do not overlap).

Find the zero(s) of the polynomial ³ - x²-3x+3. Enter your answer as one or more numbers, separated vo: € ∞o an di II lim (0) [0] > ≤E CUN 5 010 ✓0 %90 0 4 10 (0) t 1 1

Find all zeros of f(x) = 4x – 20x² + 31lx – 21. Enter the zeros separated by commas. Enter exact value, not decimal approximations.

Create a polynomial function of the form: f(x) = a (bx + e)(cx +g}*(dx + h)°, with the following conditions: i) a,b,c,d,e,g.h are non-zero integers. ii) the three factors must be different ii) a,b,c,d can all be set to one if you like iv) f(x) has to pass through all 4 quadrants Use your Curve Sketching Plan to fully characterize your function and draw an accurate sketch showing all significant features.

For the polynomial below, 1 is a zero. h (x)=x' 7x + 10x 4 | Express h (x) as a product of linear factors. h (x) = 0

3.2 (2) Divides the polynomial

9. Find all real zeroes of the function p(x)= 6x' +17x – 26x +8 Solution: https://youtu.be/XBNPBY4SAB8 10. Construct a polynomial with real coefficients that has zeroes 2 and 3+i. Solution: https://youtu.be/J9c9czrqFJA 11. Find all real/complex zeroes and write the polynomial in factored form. p(x) = 3x* – 29x +101x² – 119x – 52 Solution: https://youtu.be/78Tdn3Y0dj4 x- 4 12. Express the domain in interval notation: R(x)=- x+7 %3D