Identify \(6x^2+2x-1\) as a monomial, binomial, or trinomial if possible and give the degree.

Identify \(7x^6-5x^3+2x-4\) as a monomial, binomial, or trinomial if possible and give the degree.

Identify \(15\) as a monomial, binomial, or trinomial if possible and give the degree.

Add \(5x^2-4x+2\) and \(3x^2+9x-6\)

Find the sum of \(-8x^3+7x^2-6x\) and \(10x^3+3x^2-2x-6\)

Subtract \(\left(9x^2-3x+5\right)-\left(4x^2+2x-3\right)\)

Simplify \(4x-3[2-(3x+4)]\)

Simplify \((2x+3)-[(3x+1)-(x-7)]\)

Find the value of \(5x^3-3x^2+4x-5\) when \(x\) is \(2\)

Find the product of \(4x^3\) and \(5x^2-3x+1\)

Multiply \(2x-3\) and \(x+5\)

Multiply \((2x-3y)\) and \(\left(3x^2-xy+4y^2\right)\) vertically.

Multiply: \((4a-5b)(3a+2b)\)

Multiply: \((3-2t)(4+7t)\)

Multiply \(\left(2x+\displaystyle\frac{1}{2}\right)\left(4x-\displaystyle\frac{1}{2}\right)\)

Multiply \(\left(a^5+3\right)\left(a^5-7\right)\)

Multiply: \((2x+3)(5y-4)\)

Find \((4x-6)^2\)

Expand \((x+7)^2\)

Expand \((3t-5)^2\)

Expand \((4x+2y)^2\)

Expand \(\left(5-a^3\right)^2\)

Multiply \((3x-5)\) and \((3x+5)\)

Multiply: \((x-5)(x+5)\)

Multiply: \((2a-3)(2a+3)\)

Multiply \(\left(x^2+4\right)\left(x^2-4\right)\)

Multiply \(\left(x^3-2a\right)\left(x^3+2a\right)\)

A company manufactures and sells prerecorded DVDs. They find that they can sell \(x\) DVDs each day at \(p\) dollars per DVD, according to the equation \(x=230-20p\). Find \(R(x)\) and \(R(p)\).

Suppose the daily cost function for the DVDs in the previous example is \(C(x)=200+2x\). Find the profit function \(P(x)\) and then find \(P(130)\).

Factor \(8a^3-8a^2-48a\)

Factor \(16a^5b^4-24a^2b^5-8a^3b^3\)

Factor \(5x^2(a+b)-6x(a+b)-7(a+b)\)

Factor \(a^2b^2+b^2+8a^2+8\)

Factor \(15-5y^4-3x^3+x^3y^4\)

Factor \(x^3+2x^2+9x+18\)

Factor \(x^2+2x-15\)

Factor \(x^2-xy-12y^2\)

Factor \(x^2-8x+6\)

Factor \(3x^4-15x^3y-18x^2y^2\)

Factor \(2x^2+13xy+15y^2\)

Factor \(12x^4+17x^2+6\)

Factor \(2x^2(x-3)-5x(x-3)-3(x-3)\)

Factor: \(3x^2-10x-8\)

Factor: \(9x^2+15x+4\)

Factor: \(8x^2-2x-15\)

Factor \(x^2-6x+9\)

Factor \(16a^2+40ab+25b^2\)

Factor \(49-14t+t^2\)

Factor \(9x^4-12x^2+4\)

Factor \((y+3)^2+10(y+3)+25\)

Factor \(8x^2-24xy+18y^2\)

Factor \(\; x^2-25\)

Factor \(49-t^2\)

Factor \(81a^2-25b^2\)

Factor \(4x^6-1\)

Factor \(x^2-\displaystyle\frac{4}{9}\)

Factor \(16x^4-81y^4\)

Factor \((x-3)^2-25\)

Factor \(x^2-10x+25-y^2\)

Factor \(x^3+2x^2-9x-18\)

Factor \(64+t^3\)

Factor \(27x^3+125y^3\)

Factor \(a^3-\displaystyle\frac{1}{8}\)

Factor \(2x^5-8x^3\).

Factor \(3x^4-18x^3+27x^2\).

Factor \(y^3+25y\).

Factor \(6a^2-11a+4\).

Factor \(2x^4+16x\)

Factor \(2ab^5+8ab^4+2ab^3\).

Factor \(4x^2-6x+2ax-3a\)

Factor \(x^6-y^6\)

Solve: \(\; x^2-2x-24=0\)

Solve \(\displaystyle\frac{1}{3}x^3=\displaystyle\frac{5}{6}x^2+\displaystyle\frac{1}{2}x\)

Solve: \(\; 100x^2=300x\)

Solve: \(\; (x-2)(x+1)=4\)

Folve for \(x\): \(\; x^3+2x^2-9x-18=0\)

Solve \((x+2)(3x-1)=(x+2)(x+6)\)

The sum of the squares of two consecutive integers is \(25\). Find the two integers.

The lengths of the three sides of a right triangle are given by three consecutive integers. Find the lengths of the three sides.

If an object is projected into the air with an initial velocity of \(v\) feet/second, its height \(h\), in feet, above the ground after \(t\) seconds will be given by \(h=vt-16t^2\). Find \(t\) if \(v=64\) feet/second and \(h=48\) feet.