Find the quotient and remainder using long division. −x^3+3x^2−6x−10  over x^2−x−3

Q: Divide 2x5−8x3+4x−1 by x2−2x+1.

A: To divide first polynomial with the second polynomial

Q: Perform the indicated operations and simplify if possible. (25x^3 - 26x) / (5x - 1).  [use long…

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Q: Factor.  X^2 - 13 - 12x

A: To factorize the polynomial.

Q: Factor each polynomial.   4(5 x+7)^{2}+12(5 x+7)+9

A: We have to factorize the polynomial: 45x+72+125x+7+9 Assuming t=5x+7 then polynomial would be,…

Q: divide 5x3-15x2-26x+24 by x-4 using long division.

A: For 1st part of quotient, 5x2 must be multiplied to x to get 5x3 . Similarly go on dividing as shown…

Q: factor a.x^2-5x+6 b.x^3-9x

A: The first expression given is x2 - 5x + 6, it can be factored as,

Q: Divide 3x + 2x? – x + 2 by x + 2 using synthetic division. Find the quotient and the remainder.

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Q: Use the formula for multinomial coefficients to expand (x^1 + 2x^2 + 3x^3)^4

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Q: 4. Factor each expression. a. 4x^2-25    b. 2x^2+5x-12 c.  x^3-3x^2-4x+12 d. x^4+27x e.…

A: Dear student, since you have posted multiple sub parts, as per our policy we will answer first three…

Q: use the factor thereom and synthesis division to decide whether the second polynomial is a factor of…

A: To determine the polynomial (a) g(x)=x+2 is factor of p(x)=5x^2-12x+10 (b) g(x)=x+3 is factor of…