2. Simplify each polynomial. Gather like terms. a)-p +5q – 8r – q+ 3p+9r +1 c) 5q - 9s – 8r + 8q – 7r +13s b) -2z + 3y – 10x – 4y + 4z – 3x

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

A:

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

A:

Q: What is the value of k so that the polynomial P \ left (x \ right) = x ^ 5−23x ^ 4 + \ left (2k − 3…

A: Given : P(x)=x5−23x4+(2k−3)x3−17x2−54x+40 Q(x)=x-2 Remainder theorem states that x -a is the divisor…

Q: 1. Show whether the given polynomials 1+4x + x², 2+ 5x + 3x2, 3x 5x, and 3+ 15x - 8x spans p,.…

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Q: Show that x−6 is a factor of the polynomial p(x)=(1/3)x^3 − (15/2)x^2 + 56x − 138. How many real…

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

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

Q: Simplify Hhe polynomral 6x² (7+X +ス 81 and with step shows that if (6=x) is polynomial fectorial or…

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: Which polynomial is prime? x3 + 3x2 + 2x + 6  x3 + 3x2 – 2x – 6  10x2 – 4x + 3x + 6  10x2 – 10x +…

A:

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 polynomial 3x? + bx - 4 has

A:

Q: Determine the coefficients of the product: (2- 3)(2 – 2)(x – 1)= 23+

A: Solution:-  the given expression is  f(x)=(x-3)(x-2)(x-1)

Q: Indicate if the polynomial is even, odd or neither. p(x)=3x^4-5x^2+1

A: Explanation of the answer is as follows

Q: State whether or not the divisor is a factor of the given polynomial. 1. (x -x-42)+(x+6) 2. (4x…

A: To state whether or not the divisior is a factor of the given polynomial.

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

A: follow the next step

Q: 6. Factor each polynomial using the factor theorem.1 3- 3x2. 10x + 24 d) 4x* + 7x e) x - 5x – 7x³ +…

A: We find out the factors of the given polynomials.

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

A:

Q: S. Which polynomials gives a quotlent of (3x + 2x+ 4) and a remalinder of 19 when divided by (2x-3)7…

A:

Q: According to Descartes' Rule of Signs, how many positive zeros could the polynomial 3x 4x4 + 2x2 + 9…

A: We have to find the number of positive zeroes of the polynomial.

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 the degree and number of terms of each polynomial. 1. 14h+ 2h + 10 2. 7y- 10y 3. 2a-5a+ 34 - 6a

A:

Q: Do the polynomials t3 + t? + 1, t2 - t + 2, t3 + 2, -t3 + t2 - 5t + 2 span P3

A:

Q: a Evaluate each polynomial when x = 4 and when x = -1. 2. -&r + 1 3. 2r-5x + 7

A:

Q: Add or subtract the polynomials (7x3-x2y+4y3) + (2x3+5x2y+3xy2) - (5x2y+6xy2+y3) ?

A: Distribute the signs.

Q: Write in standard form if needed, then classify the polynomial 1. 25-9m2-m+4m3 2. 9x 3.…

A:

Q: Which of the following polynomials will fill in the blank to make the equation true? 2 (3x - 7x + 2)…

A: The given polynomials,3x2-7x+2+_______=2x2-10x+3

Q: 11. Write the polynomial in standard form. 5x – 2+ 4x + 8x?

A: As part of our policy at Bartleby, I can solve only the 1st question. Given a polynomial (say P) :…

Q: Which of the following polynomial expressions factors to x'(4x - 7)(4x + 7)? O 16x6 – 49x O 16x° +…

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Q: Factor. (If the expression is nonfactorable over the integers, enter NONFACTORABLE.) 16 − 49y2

A:

Q: Evaluate the polynomial 3ab - 5ab^2 + 2b for a = -2 and b =-1

A:

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

A: For finding zeroes I used factor method for quadratic equation I completely solved in the 2nd step…

Q: 23. Express the polynomial 2m -3+ 7m in standard form. 2m + 7m-3 9m -3 7m+ 2m - 3 -3+ 7m+ 2m

A: Given expression of polynomial 2m2-3+7m

Q: 2. Write the polynomial in standard form. * 5w – 2w + 2w - 8 2w + 2w + 5w-8 -2w + 2w -8+5w 5w - 2w +…

A: Steps :: 1) Write the term with the highest exponent first2) Write the terms with lower exponents in…

Q: expand and simplify the following polynomial: 2 (7 – 4a) a (2a – 4) (5a + 1) 40a + 390a? + 180a O…

A: 2(7-4a)a(2a-4)(5a+1) = (14- 8a)a{ 10a2 + 2a - 20a -4}  = (14a- 8a2)( 10a2 -18 a - 4)  ={ 140a3…

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: Multiply: (a) 3a?(3a² – 5a + 2), (b) – 2xz³(6x³z + x²z2 – xz³ + 7z^), and (c) (-mª – 25)(4m³) To…

A: I hope that this solution will help you .Thankyou. Best regards.

Q: Mrs. Allard asked her students to identify which of the polynomials below are in standard form and…

A:

Q: To add polynomials, we add terms. So

A: We have to fill in the blanks: To add polynomials, we add ________ terms. So…

Q: Rewrite the following polynomial in standard form. 5+2x „5 8x 10x2

A:

Q: Indicate if the polynomial is even, odd or neither. p(x)=2x^5-8x+5

A: The solution is:

Q: 1. Which polynomial has 31, -31, and 3 (with multiplicity 2) as its roots? A -3x' +9x + 27 Bx -6x'…

A:

Q: 9.(T) Decide whether each polynomial has (x + y) as one of its factors. Justify your decision.(2.5)…

A: We decide whether each given polynomial has (x+y) as one of its factors.

Q: Rewie the polynomial in the form ax+ bx+c and then identify the val b, and c 9x – a2 8. - - -

A: Identify the value of a,b,c

Q: 8. Complete the following table by stating whether the polynomial is a monomial, binomial or…

A: Given

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

A: Solve the problem as shown below see if they are linear combination of each other and then verify,

Q: Factor each polynomial. 59. 9a2-16 61. X4-16 65. (a+b)2-16 69. X2-8x+16-y2 73. 8-a3 75.  125x3-27…

A: Hey, since there are multiple questions posted, we will answer first three questions. If you want…

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: 43. Which polynomial represents the product of 2x – 3 an- x² + 6x – 2? ® 2x + 6x – 6 - © 21 – 18x –-…

A: Given query is to find the product if the expression.

Q: Use Gramer Rale to Find ,2 -2x + 33-Z-1 X+23-2-4 -2x -y+7=-3

A:

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

A: