1. When the polynomial 6x -ar' + bx² +3x+4 is divided by x+1 the remainder is 10. When it's divided by x-2 The remainder is 106. Determine the values of a and b. Provide an algebraic solution, showing all work.

Q: Why is a polynomial be thought as adding terms, even if some coefficients are negative

A: Why is a polynomial be thought as adding terms, even if some coefficients are negative

Q: Which of the following polynomial expressions factors into 3x(y - 3z)(y+ 2z)?

A:

Q: Use the strategy of your choice to multiply the following expressions. 3. 4. (2x- 3)(-x² + 5x -4) 5.…

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Q: what method should you use for a polynomial with 4 terms

A: The method to factor a polynomial with four term. Consider the polynomial of 4 terms is,…

Q: Use synthetic division to divide 2x5 + 5x4 ─ 2x3 + 2x2 ─ 2x + 3 by x + 3.

A: Synthetic division is a method used to perform the division operation on polynomials when the…

Q: 1. (x-11x + 12x - 6) (x- 2)

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Q: Simplify completely the following polynomial expression. On your paper, write your answer in the…

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Q: 6. When the polynomial P(x) = 3x³ + ax² + bx - 9 is divided by x - 2, the remainder is -5. When P(x)…

A: By the Remainder theoremIf P(x) is divided by (x−a)⇒ Remainder=P(a)

Q: 18. Express the polynomial 6x -x +2x-4 in standard form. 6x'-2x-4 7 +2x-4 -4+2x-5x 5x +2x-4

A: standard form is the form in which polynomial is written decreasing power of x and all different…

Q: What is the polynomial expression (5x-2) (4x²–5x+4) in expanded form? A B с 20x³-33x²+30x-8 20x³ +…

A: Given: (5x-2)(4x2-5x+4)

Q: 10(3x2-13x) = -40  . Zero Factor Property

A: Given:

Q: The function 2x^3 + kx^2 + px -13  has a remainder of 21 when it is divided by  x-3 . The function…

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Q: Written as a simplified polynomial in standard form, what is the result when (2x − 1)² is subtracted…

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Q: Given the polynomial 2x6+3x4+3x2+1  How would I find all six zeroes? Thanks.

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Q: 11. The polynomial expression (ax? 2)(x² - 3x + 1) – (12x* 36x) is simplified to 14x 6x + 2. What is…

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Q: (x? - x + 2)(x? + 3x - 4)

A: We have to expand and simplify the polynomial expression (x2-x+2)(x2+3x-4) .

Q: s to subtract the polynomial given: (-2x - 8x+5)- (3x + 5x - 6). Give th orrectly. Change the…

A: We are asked to find the sequence of the steps.

Q: Use long division to divide the following polynomial: (-5+x+4x² + 2x3 + 3x4) ÷ (x² + 2)

A: As per our guidelines we are supposed to answer only one question

Roots

The main dissimilarity between real and complex roots is that the real roots are obtained as real numbers, in contrast with the complex roots, which are indicated as imaginary numbers. The standard format for depicting any complex number is in the form of a + bi.