Factor f(x) into linear factors given that k is a zero of f(x). f(x) = x° + (14 – 4 i )x² + (45 – 56 i )x – 180 i; k= 4 i

Q: 2 A W C₁R 2 [√(1-W² C₁R₁C₂R₂) ² + [W (C₂R₂ +C₁R₁) ] ² 2

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Q: Find the four real zeros of the function ƒ(x) = 2x4 - 4x2 + 1.

A: Given:

Q: 1. Given function f(x) = (2-5x)(x-6)(x+1), find (A) Degree of the polynomial, (B) Alla intercepts,…

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Q: Determine all the roots of  f(t) = 9t3-18t2+6ta

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Q: Find f (VF + xJ dx

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Q: The values of a and b, for which the function f(z) = x³ + axy² + i3x?y + iby³ is analytic, where z =…

A: Given function is f(z) = x3 + axy2 + i3x2y + iby3 by comparing f(z) = u +i v here u = x3 + axy2  and…

Q: 5 Calculate the roots of the following polynomial equations: (a) x³ – 6x² + 11x – 6 = 0 given x = 1…

A: Topic = Polynomials

Q: (b.) The function, f(x)= ax'-bx² +cx-12 , has a remainder 30 when divided by x - 3. If (x-2) and…

A: Given: fx=ax3-bx2+cx-12 which has a remainder 30 when divided by x-3 and,           x-2 and x+3 are…

Q: Determine the zero(s) of k(x) = x° – 7x2 + 10x. - The zeros are x =

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Q: Find the roots of the functionf(x) = (2x−1)·(x2+ 2x−3) withx∈R

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Q: Find all zeros of f(x) = x– 3x2 + x – 3. Enter the zeros separated by commas.

A: We have f(x)=x³-3x²+x-3 i.e, f(x)=x²(x-3)+(x-3) i.e, f(x)=(x²+1)(x-3) i.e,f(x)=(x-i)(x+i)(x-3)…

Q: Is x-7 a factor of f(x)? Use the Factor Theorem. f(x) = x³ + 5x? - 12x+14

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Q: Find xy2 √ R x2 1 x²+1 dA, R= [0,2] x [-4,4]

A: First, we need to identify the limits of integration. The rectangle R is defined by the vertices…

Q: 5. Find the parameter a such that polynomial equation P(x) = x³ - ax² + 2x + 3a has x + 2 as a…

A: P(x)=x3−ax2+2x+3a has x+2 as a factor

Q: Determine the roots of the function f(x) = (52" – 6)² – (5²" – 6) – 12. -

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Q: The function f(x) = x³ + 5x²-√x + 1 is a polynomial of degree 3.

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