a) Consider the function P(x)=x³ +2x² – 2x +10, Show that x-3 is not a factor of P(x). Use long division to find the quotient and remainder when P(x) is divided by x-3. %3D i. ii. (5 marks) b) Factorize 4x² – 20x – 16 = 0 using completing the square. %3D

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A: Given,           The expression is -x4+10x-10.

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Q: Given P(x) = 3æ° – 5x + x° – 23x? – 44x – 12, and - - - that 2i is a zero, write P in factored form…

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Q: Let P(x) = 5x + 2x2 - x + 3. Use synthetic division to find the value. P(-4) P(-4) =

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A: The given expression is 3x3-31x-15x+3.

Q: Draw an area model to represent the product (x + 3)(2x + 1), and write the simplified product.

A: See the answer below

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Q: Use long division to divide the first polynomial by the second. x12x² + 11x - 1, x - 3

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Q: Use Synthetic Division and apply the Remainder Theorem to find f(k): (x) = 2x4 - 4x3 +2x2-9x + 4 ; k…

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A: Consider the given equation x4+x3-21x2-x+20=0.

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Q: Use the given zero to completely factor P(x) into linear factors. zero: 3-i; P(x) = x² - 6x³ +46x² -…

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Q: Simplify. (8y? + 9y-2) - (2y? + 17) (8y? + 9y-2) - (2y? + 17)=] (Simplify your answer. Do not…

A: Given expression is: (8y2+9y-2)-(2y2+17)

Q: - 6i, then multiply 3. If the zeros of a 4th degree polynomial are x = 0, x = – 2 and x = - out the…

A: Given: The zeros of the fourth degree polynomial are x = 0, x = -2, x = -6i. To find: The polynomial…

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A: Using synthetic division