If possible, write −7 − 2x – 10x² as a linear combination of 1 + x + x², 1 + x² and x². -

Q: Find the number of terms in this polynomial, -2s - 4

A: Given query is to find the number of terms in the polynomial.

Q: Write the polynomial z^4− 81 in factored form.

A: We will use the formula a2-b2 = (a+b)(a-b) Consider               z4-81 = (z2+9)(z2-9) =…

Q: Write x7 - x as a product of linear factors over Z3. Do the same forx10 - x.

A: Consider the given polynomial, x7-x So, in Z3 it can be written as,…

Q: use the quotient rule to simplify 30x-7yz-14 3xyz

A: Given,          30x-7yz-143xyz

Q: Add (−8x2−9xy−5y2​) and (11x2−7xy+7y2​)

A:

Q: Simplify: x3 × x4 + x

A: The given expression is,

Q: divide 36y2+30y3+5y-1/6y2+1

A: We arrange 36y2+30y3+5y-1 from bigger exponent to smaller exponent. 30y3+36y2+5y-1

Q: Multiply. (-9x³)(7x4) O 16x' 7 O-63x12 O 16x12 O-63x7

A: As we know from the exponent rule: ab·ac=ab+c   (a). The given expression is: -9x37x4

Q: 2x ×8b

A: 2x × 8b = (2×8) ×(b×x)

Q: Multiply.     (2+ 4x  ) (3-x)

A:

Q: Perform the indicated operation. Subtract (8x+7) from (4x+9x+4). (8x+7) subtracted from (4x +9x+ 4)…

A: (4x^2+9x+4) - (8x+7)We first have to distribute the negative.

Q: Subtract 2x+3/x2+x-2 - 5/3x-3

A: We are required to:

Q: If possible, write 9 - 7x - 13x² as a linear combination of x − 1 + x², (−1) + x² and x − 1 + 2x².…

A:

Q: Divide -9 + 7x – 4x2 + 4x by 2r – 1.

A: The given polynomials are f(x) =4x3 - 4x2 + 7x - 9; g(x) = 2x -1. We will use the method of long…

Q: Divide x3 − 1 by x − 1. Check the result.

A: Find the value of  x3-1x-1

Q: Write x7 - x as a product of linear factors over Z3. Do the same for x10 - x.

A: Given: Z3. To Do: We have to write x7-x and x10-x as a product of linear factors over Z3.

Q: Divide x? – 3x + 5 into 3x – 14.x3 + 3x2 + 18x – 19

A:

Q: 5x+3x+2x=7x-8+9x

A: Value of x= ?

Q: Divide

A:

Q: To divide 16x - 32x? + 2r + 4 by 4x, divide each term of. by

A: We have to fill in the blanks: To divide 16x3-32x2+2x+4 by 4x, divide each term of…