Polynomials: District 1

Expand. Your answer should be a polynomial in standard form. (-4c+1)(4c+1)=

-16c²+1

Multiply. Your answer should be a monomial in standard form. (p⁸)(-2p²)

-2p¹⁰

Expand. Your answer should be a polynomial in standard form. -4w(w²-9)=

-4w³+36w

Subtract. Your answer should be a polynomial in standard form. (-4x⁴+6x²+3) -(5x²-3)=

-4x⁴+x²+6

Subtract 9x⁴-x²y²-5y⁴ from 3x⁴ +2x²y²-7y⁴ Your answer should be a polynomial in standard form.

-6x⁴ +3x²y²-2y⁴

A rectangle has a length of 4b² + 2b + 6 and a width of 3. What is the area?

12b² + 6b + 18

Expand. Your answer should be a polynomial in standard form. (4m-7p)(4m-7p)

16m²-56mp+49p²

Express the area of a rectangle with length 4x³ and width 5 as a monomial.

20x³

Expand. Your answer should be a polynomial in standard form. 6n²t(4nt-3nt³)=

24n³t²-18n³t⁴

Solve. Your answer should be a polynomial in standard form. (3a²-1)+(-3a²+5)

4

Add. Your answer should be a polynomial in standard form. (-8y²-9y) +(8y³+9y²-2y)=

8y³+y²-11y

Isatou tried to subtract two polynomials. Her work is shown below: (3c²-5cd+d²)- (7c²+4cd-9d²) Step 1 = 3c²-5cd+d²-7c²+4cd-9d² Step 2 =(3-7)c² +(-5+4)cd+(1-9)d² Step 3: =-4c²-cd-8d² ​ At which step did Isatou make an error, if at all? Choose 1 answer: A. Step 1 B. Step 2 C. Step 3 D. She didn't make an error

A

6x²+7x³+8x⁵+9 What is the degree of the polynomial?

Fifth Degree

Expand and simplify. (x-2)(x+5)=

x² + 3x-10

Expand. Your answer should be a polynomial in standard form. (x+6)(x+6)=

x²+12x+36

A rectangle has a length of x+6 and a width of x + 2. What is the area?

x²+8x+12