Algebra L7-6 Quiz v3

Last updated over 2 years ago

5 questions

What is the fully factored form of 4x^{3}+16x^{2}-48x?

Draggable item		Corresponding Item
5q(3-2q)+1(3-2q)=(5q+1)(3-2q)		Decomposition of a Sum: 13q=15q+-2q
5q(3-2q)+(3-2q)=5q(3-2q)+1(3-2q)		Associativity of Addition: a+b+c=(a+b)+c=a+(b+c)
-10q^{2}+(13q)+3 = -10q^{2}+(15q+-2q)+3		Commutativity of Addition: a+b = b+a
-10q^{2}+(15q+-2q)+3= (-10q^{2}+15q)+(-2q+3)		Distributive Law (of multiplication over addition): a(b+c)=ab+ac
(15q-10q^{2})+(3-2q) = 5q(3-2q)+(3-2q)		Multiplicative Identity: 1\cdot a=a
(-10q^{2}+15q)+(-2q+3) = (15q-10q^{2})+(3-2q)		Distributive Law (of multiplication over addition): a(b+c)=ab+ac