Algebra L7-6 Quiz v3
By Sam Schneider
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Last updated over 1 year ago
5 Questions
1 point
1
Question 1
1.
What is the fully factored form of 4x^{3}+16x^{2}-48x?
What is the fully factored form of 4x^{3}+16x^{2}-48x?
1 point
1
Question 2
2.
Factor the trinomial 3x^{2}-x-2
Factor the trinomial 3x^{2}-x-2
1 point
1
Question 3
3.
Emmy factors the quadratic trinomial -10q^{2}+13q+3 by grouping. Match each of her steps with its explanation.
Emmy factors the quadratic trinomial -10q^{2}+13q+3 by grouping. Match each of her steps with its explanation.
(-10q^{2}+15q)+(-2q+3) = (15q-10q^{2})+(3-2q) | arrow_right_alt | Decomposition of a Sum: 13q=15q+-2q |
(15q-10q^{2})+(3-2q) = 5q(3-2q)+(3-2q) | arrow_right_alt | Associativity of Addition: a+b+c=(a+b)+c=a+(b+c) |
5q(3-2q)+(3-2q)=5q(3-2q)+1(3-2q) | arrow_right_alt | Commutativity of Addition: a+b = b+a |
-10q^{2}+(13q)+3 = -10q^{2}+(15q+-2q)+3 | arrow_right_alt | Distributive Law (of multiplication over addition): a(b+c)=ab+ac |
5q(3-2q)+1(3-2q)=(5q+1)(3-2q) | arrow_right_alt | Multiplicative Identity: 1\cdot a=a |
-10q^{2}+(15q+-2q)+3= (-10q^{2}+15q)+(-2q+3) | arrow_right_alt | Distributive Law (of multiplication over addition): a(b+c)=ab+ac |
1 point
1
Question 4
4.
The area of a circle, A, is given by A=\pi r^{2}, where r is the radius of the circle and \pi is an irrational constant approximately equal to 3.141593.
If the area of a circular trampoline is equal to 4\pi x^{2}+16\pi x+16\pi \textrm{ cm}^{2}, then which of the following could be possible lengths of the circle's radius?
The area of a circle, A, is given by A=\pi r^{2}, where r is the radius of the circle and \pi is an irrational constant approximately equal to 3.141593.
If the area of a circular trampoline is equal to 4\pi x^{2}+16\pi x+16\pi \textrm{ cm}^{2}, then which of the following could be possible lengths of the circle's radius?
1 point
1
Question 5
5.
Factor the trinomial 5x^{2}+7x-6
Factor the trinomial 5x^{2}+7x-6