Factor
2x\left(x-1\right)\left(2x^{2}+2x-9\right)
Evaluate
2x\left(2x^{3}-11x+9\right)
গ্রাফ
শেয়ার করুন
ক্লিপবোর্ডে কপি করা হয়েছে
2\left(2x^{4}-11x^{2}+9x\right)
Factor out 2.
x\left(2x^{3}-11x+9\right)
Consider 2x^{4}-11x^{2}+9x. Factor out x.
\left(x-1\right)\left(2x^{2}+2x-9\right)
Consider 2x^{3}-11x+9. By Rational Root Theorem, all rational roots of a polynomial are in the form \frac{p}{q}, where p divides the constant term 9 and q divides the leading coefficient 2. One such root is 1. Factor the polynomial by dividing it by x-1.
2x\left(x-1\right)\left(2x^{2}+2x-9\right)
Rewrite the complete factored expression. Polynomial 2x^{2}+2x-9 is not factored since it does not have any rational roots.
উদাহরণ
দ্বিঘাত সমীকরণ
{ x } ^ { 2 } - 4 x - 5 = 0
ত্রিকোণমিতি
4 \sin \theta \cos \theta = 2 \sin \theta
রৈখিক সমীকরণ
y = 3x + 4
পাটিগণিত
699 * 533
মেট্রিক্স
\left[ \begin{array} { l l } { 2 } & { 3 } \\ { 5 } & { 4 } \end{array} \right] \left[ \begin{array} { l l l } { 2 } & { 0 } & { 3 } \\ { -1 } & { 1 } & { 5 } \end{array} \right]
সমকালীন সমীকরণ
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
ডিফারেন্সিয়েশন
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
ইন্টিগ্রেশন
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
লিমিট
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}