5 months ago
Q:

algebraically factor f(x)=2x^4 - 7x^3 -2x^2 +13x +6

Accepted Solution

A:
$$\left(x-3\right)\left(2x^{3}-x^{2}-5x-2\right)$$
$$\left(x+1\right)\left(2x^{2}-3x-2\right)$$
$$a+b=-3$$ $$ab=2\left(-2\right)=-4$$
$$1,-4$$ $$2,-2$$
$$1-4=-3$$ $$2-2=0$$
$$a=-4$$ $$b=1$$
$$\left(2x^{2}-4x\right)+\left(x-2\right)$$
$$2x\left(x-2\right)+x-2$$
$$\left(x-2\right)\left(2x+1\right)$$
$$\left(x-3\right)\left(x-2\right)\left(x+1\right)\left(2x+1\right)$$