10/17 Warm Up - Simplify Polynomials & Radicals

Simplify. Answer in standard form.

$$\left(6x^4-3x^3-6x^2\right)\ +\ \left(8x^4-3x^3+x^2+9x+11\right)$$

Answer: ​ (a)   $$x^4$$ ​ (b)   $$x^3$$ ​ (c)   $$x^2$$ ​ (d)   $$x$$ ​ (e)  

Subtract & Simplify.

$$\left(-7x^2-9x\right)-\left(-4x+3\right)$$

*Choose ALL that apply!

Find the product. Simplify and answer in standard form.

$$-4\left(6x^2-9\right)$$

To find the square/product of $$\left(3x+3\right)^2$$ ,

first you would square the binomial like this: ​ (a)   .

Then you would FOIL, like so: ​ (b)   .

Then you would combine like terms to find your solution, which is: ​ (c)  

Fill in the blanks to find the product and simplify your answer.

$$\left(x-1\right)\left(-2x^2-3x+2\right)$$

Distribute the 1st term: ​ (a)   $$-3x^2$$ ​ (b)  

Distribute the 2nd term: ​ (c)   ​ (d)   $$-2$$

Add/Combine like terms to find the final answer:

​ (e)  

Simplify the radical.

$$\sqrt[]{45}$$

*Choose ALL that apply!

Simplify the radical.

$$\sqrt[]{48}$$

/ \

​ (a)   $$\cdot\ \ \sqrt[]{3}$$

I I

Answer:​ (b)   ​ (c)