Polynomials (Manipulation and Zeros)
India
Class X
Writing a Function from its Zeroes
Interactive practice questions
Find the quadratic equation that has solutions of $2+\sqrt{7}$2+√7 and $2-\sqrt{7}$2−√7, and a leading coefficient of $1$1.
Give your final answer in the form $ax^2+bx+c=0$ax2+bx+c=0.
Easy
5min
Determine the equation of a parabola whose $x$x-intercepts are $-10$−10 and $4$4, and whose $y$y-intercept is $-40$−40.
Easy
3min
A parabola has equation of the form $y=\left(x-a\right)\left(x-b\right)$y=(x−a)(x−b).
Easy
3min
The cubic function that has been graphed passes through the point $\left(1,8\right)$(1,8). Find, in factorised form, the equation of the cubic function $y$y.
Let the leading coefficient be $a$a if necessary.
Easy
5min
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