a. Rewrite the polynomial 2x² + x in standard form. ° +-7x + 1 b., What is the leading coefficient? c. What is the degree?

Q: . Do the polynomials x? + 2, 2x? – x + 1,x + 2, and x² + x + 4 span P2?

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Q: Enter the degree of the polynomial below. 5x5 +8x²+2x-3x - 8x² - 4x5 A. 5 OB. 9 O C. 8 OP. 6

A: here is the solution:

Q: Given a polynomial that has zeros of -4, 5i, and -5i and has a value of 2142 whenx = 3. Write the…

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Q: 2. Is the expression 4x³ 3.6x² - V2 a polynomial? If so, what is its degree? (pp. A22-A24) -

A: (2) Here the given expression  4x³-3.6x²-√x = 0 Here the given expression is polynomial Degree of a…

Q: Complete the term-coefficient-degree table for the polynomial  y4 -y3 + 12y2 +3y

A:

Q: Suppose that a polynomial equation has the following six roots: -7, -2, 1 + iv2, 1 - iv2, 2, and 7.…

A:

Q: Factor. If the polynomial is prime, so indicate.  6s^5 - 26s^4 -20s^3

A: GCF is 2s^3. Factor it out.

Q: Which polynomial lists the powers in descending order? OA. 3x6+10x² + x³ + 8x³ - 2 OB. x+3x6 +8x³ +…

A: To find which of the given polynomial has powers in descending order that the x has powers in…

Q: Find the roots of the factored polynomial. (x - 9)? Write your answer as a list of values separated…

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Q: Do the polynomials x? + 2,2x2 – x + 1,x + 2, and x² + x + 4 span P2?

A: Let u1 = x2+2, u2 = 2x2-x+1, u3 = x+2, and u4 = x2+x+4. Notice that u1 + u3 = u4. So, u1, u2, u3,…

Q: The number of zeros of the polynomial x?+ 4x +1 in Zs is:

A: As Z_6 is finite, we check for zeros of polynomial by substituting every  elements of Z_6.

Q: Find the roots of the following polynomial:  6x3- 7x2 - 28x + 20

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Q: determine the degree of the given polynomials. 5x2 - 7x - 2

A: The given polynomial is, 5x2-7x-2 We need to find the degree of the given polynomial. The degree of…

Q: Which of the following is one of the factors of the polynomial 15x-x-2? A x-2 5x-2 с 5x+1 D 3x-1 O a…

A: To determine the factor of the polynomial.

Q: . What is the remainder when the polynomial P(x) = a500 + 6x101 - 22-2x+4 is divided by a-

A: We have to use remainder theorem here

Q: 10. Use the appropriate method to solve the following polynomials. a. y = x* + 35x² – 36 - b. y =…

A:

Q: Given the expression 5a2b - 13ab + 7a3 - 4b, A: Write the polynomial in descending order. B:…

A: follow the next step

Q: O 15x°y - 15 ) -21a°b?

A:

Q: Given the polynomial below, which shows the terms in standard form? * 5m2 + 9- m + 2m3 A. 2m3 + 9 +…

A:

Q: 16. Factor out the GCF from the polynomial. .2 3xy? - 9xz* + 8y?z

A:

Q: Simplify the polynomial (3x² + 2xy + 5y²) – (-6x² 2xy + Зу?)

A: Given polynomial3x2+2xy+5y2--6x2-2xy+3y2

Q: Determine an integer to replace the blank in the polynomial 49x? - 84xy + so that the trinomial is a…

A: Since (a-b)2=a2-2ab+b2

Q: Consider the polynomial p(x) = 45x³ + 69x? – 24 – 48 What are the zeros of 3p (x + 1)? O-, -2, - ,…

A: Given the polynomial,

Q: Find m so that x+5 is a factor of 5x3+29x2+mx+20

A: Let f(x)=5x^3 + 29x^2 +mx+20 , if (x+5) is a factor of f(x) then by factor theorem f(-5)=0

Q: determine the degree of the given polynomials. 5x3y2 - 6x3y3

A: The given polynomial is 5x3y2-6x3y3. Recall, "The degree of a polynomial is the degree of its terms…

Q: 1. Use polynomial identities to find the factors: a) 8x° – 27y3 b) m° + 27n c) x6 - 25y4 1. d) x° -…

A: a) 8x⁶-27y³ We can also write the term as, (2x²)³ - (3y)³ The above equation is of the form a³-b³.…

Q: Which of the se poly nomials have X-2) as a factor? 5. (x)= 8x4-41x3 - 18x?+10lx7o %3D

A: We need to check if (x-2) is a factor of polynomial or not.

Q: Which of the following polynomial expressions factors to x(2x-4)(3x-3)

A: Which of the following polynomial expressions factors to x(2x-4)(3x-3)

Q: Find the degree of the polynomial: 3a b5 + 5a?b – 2aºb. O 22 O 9 O 9 О 10

A: Since highest degree term is the degree of the polynomial. Hence Degree of the given polynomial is…

Q: Perform the indicated operations. Indicate the degree of the resulting polynomial:…

A:

Q: Ise the definition to determine whether the polynomials x3 – 4x2 + 3x, x* + 6x2 + 1la+6, x² – 2, and…

A: True

Q: Which of the following polynomial expressions factors into (2x - 6)²? O 4x2 - 24x + 36 O 4x2 + 24x +…

A:

Q: Which of the following polynomial expressions factors into 3x(x + 5)(x + 2)? O 3x° - 21x2 – 30x O…

A: Given, Simplify 3xx+5x+2

Q: (d) Show that x² – 4 is a factor of x* – 5x³ + 2x? + 20x – 24.

A:

Q: Suppose that a polynomial equation has the following six roots: -4, -2, 1 + iv2, 1 - iv2, 2, and 4.…

A:

Q: Q7. When the polynomial g(x) = x* + kx³ – k²x² + 5x – 12k (where k is a real number) is divided by…

A: remainder theorem

Q: Determine the degree of the following polynomial expression. an + 4ap - 7a³ + 1 О 2 O 4 O 3 O 1

A: Identify the exponents on the variables in each term, and add them together to find the degree of…

Q: Rewrite the polynomial in the form ax + by + c and then identify the values of a, b, and c. -1-4x 3…

A: The given equation is y3-1-4x

Q: 1. State the degree and the leading coefficient of each polynomial. a) y = 5x* – 3x² + 4 b) y = -x +…

A: We have to find degree and leading coefficient

Q: 9. If the area of a square is given by the polynomial 4x² – 36x + 81, then which of the following…

A:

Q: Which of the following polynomial expressions factors to 2x2(x + 1)(3x - 2)? O 6x* + 2x³ – 4x² O 6x…

A: Given query is to find the correct polynomial for the factors.

Q: Complete the term-coefficient-degree table for the polynomial. y4 − y3 + 10y2 + 7y

A: The degree of polynomial is equal to the degree of the highest degree term.

Q: Find the LCM of the given polynomial. 3x2 - 27,   2x2 - x - 15

A: The lowest common multiple of 2 polynomials can be obtained factorizing both the polynomials. The…

Q: Given that 2 is a root of the polynomial, find ALL the roots of y = x3 - 7x + 6

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Q: TIs the expression 4x3 - 3.6x2 - √2 a polynomial? If so, what is its degree?

A: Given expression, 4x3-3.6x2-2

Q: Perform the indicated operations. Indicate the degree of the resulting polynomial. (7x2 - 8xy + y2)…

A: Given , (7x2 - 8xy + y2) + (-8x2 - 9xy - 4y2) Removing parenthesis by distributing sign,

Q: Which polynomial is prime? O x + 3x2 + 2x + 6 O x + 3x2 - 2x-6 O 10x -4x + 3x + 6 O 10x2- 10x- 10x +…

A: Definition used -   Prime polynomial -  The polynomial that can not be factored in any way is…

Q: find the degree of the polynomial 7n3

A:

Q: If a ,ß are the zeroes of the polynomial 2y + 7y + 5, find the value of a + ß+ aß

A: