What is the product when f(x) = 3x² + 2x - 4 is multiplied by g(x) = 4x² + 2 in Z₁ [x]?

Q: CHECK Your Una 1. Simplify. b) a) (3x² - 7x + 5) + (x²-x + 3) (x² - 6x + 1)-(-x² - 6x + 5) c) (2x² -…

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Q: Need only handwritten solution only (not typed one).

A: The given function is .We have to find the inverse function.

Q: 1.Simplify: -2xy[6x² + {-6x³y – 2x²y – 2[2xy – x(3x²y– 3x – 2y) - 3x²] + 2x(xy)}– 3x²] a.

A: Topic:- Algebra

Q: Divide the polynomial f(x) = x + 4x² + 5x + 2 by (x + 2) (x³ + 4x? + 5x + 2) ÷(x + 2)

A: Given the polynomialf(x)=x3+4x2+5x+2

Q: 1. Express the polynomial f(x) = 4x3 – 5x2 + 2x – 3 as a power of x + 2.

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Q: If h(x) = 8x – 3, find 3[h(x)]² – 7 -

A: We know that- (a+b)2=a2+b2+2ab

Q: For

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Q: If x=1 is a zero of the polynomial function f(x)=3x^3-8x^2+3x+2, which of the following is another…

A: Given that x=1 is a zero of the polynomial function  we have to find other zero of f(x)

Q: Find the quotient and remainder of (x' + 8x² + 19x + 13) ÷ (x + 3). A (x² + 11x + 52) R 13 © (x² +…

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Q: Find the value of c that will cause the polynomial f(x) = x2 + 3x + c to have 3 as

A: f(x)=x2+3x+c

Q: Find a. (f + g​)(x​)     b.​ (f+g​)(7​).   f​(x​)=3x2 - x- 5, g(x) = x – 1 ​   (f + g)(x) =…

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Q: Find the remainder when f(x) = x7 + 3x5 + x - 1 is divided by x2 +1 in Z5[x].

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Q: Express as a polynomial. (4x - 3y)(x - 5y)

A: Given: (4x - 3y)(x - 5y)

Q: Let f(x) be a polynomial with real coefficients. The polynomial f(x) leaves the remainder 2x +1 when…

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Q: 4x

A: Zeros of f(x) must satisfy f(x),i.e., f(x) will reduce to zero at the zeros of f(x).

Q: factorise (c) x - - 3x - 4x + 12 (f) x'y – 4xy

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Q: what are the possible zeros of f(x)=−6x 5 7x 3 + 12?

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Q: = 2x + 4 and g(x) Let f(x) = After simplifying, 6x3 (fg)(x) = = +22x². = +4 3x² + 5x. X

A: Given: fx=2x+4, gx=3x2+5x For any given two functions Px and Qx Function PQx is given by PQx=Px.Qx…

Q: If f (x) = 2x + 6, g (a) = -9, find – 12 (f+g) (x) O 9x-12 -9(3x-1) -9(3x-4) O 9(3x+4)

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Q: Find the zeros of f(x) = x^2 − 6x + 10. Then, compute x1/x2 where x2 is the zero with positive…

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Q: Gives that f(x) 5x^3-54x^2+170x-104. And that 5+i is a zero, factor f(x) completely.

A: If 5+i is a zero then (5-i) is also a zero.

Q: If f(x)=x² - 6x + 5 and g(x)= - 4x, find the following compositio (gof)(-5) (gof)(-5) = (Simplify…

A: Solve the function

Q: Express the polynomial f(x) = 2x² + 3x³x²+x-2 in the form f(x)=b₁(x - 5)¹. i=0

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Q: Given f(x)=x^4-2x^3+28x^2-4x+52, and that 1+5i is a zero of f(x). Find all the zeros.

A: Given f(x)=x^4-2x^3+28x^2-4x+52, and that 1+5i is a zero of f(x).Find all the zeros.

Q: If ​f(x)=8x and ​g(x)=7x−6​, find​ (fg)(x).   Let ​f(x)=x2−2 and g(x)=2x.Find the following.…

A: If fx=8x and gx=7x-6, then find fgx.