9) The area of a rectangle is found using the formula A=lw, where I is the length of the rectangle and w is the width. Multiply each pair of factors and express the area of each rectangle as a single polynomial in terms of x . I=x²-4; w=5x+10

Q: Determine values of a and b for 3x^4 - 12x^3 +ax^2 + 34x + b when (x-4) is a factor and there is a…

A: If x-a is a factor of f(x) , then f(a)=0 .

Q: The number of zeros of the polynomial x² + 4x +1 in Z, is: 4 2 None

A:

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

A:

Q: ,37 19 Polynomial P(x)=6x200+7x-2x19+10 is divided by (x+1). Find the remainder. |

A: P(x)=6x200+7x37-2x19+10 Divisor =x-1

Q: The polynomial 2x^3 + ax^2 - 10x + b has a factor of ( x-1 ) and has a remainder of 15 when divided…

A:

Q: If the area of a triangle is x2−6x−16 m2 and the base is x−8 ​m, then what polynomial represents…

A: The area of a triangle is = (x2-6x-16)m2and the base is = (x-8)mwhat will be height of the traingle…

Q: Express as a polynomial.

A: the given expression:   we have to express as a polynomial:

Q: Express as a polynomial.

A: we have to express the equation (4x-5)(2x2+3x-7) in polynomial.

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

A:

Q: According to Descartes' Rule of Signs, how many negative zeroS could the polynomial æ4 – 3x³ – 2x² +…

A: According to Descartes's rule of signs, maximum number of positive real root of a polynomial…

Q: If x = -1 is a root of the polynomial 0 = x3 + 4x? + 2x – 1, what are the remaining roots? -3+V13 x…

A:

Q: Divide the first polynomial by the second polynomial . 1. 2x? +5x³ +x* +7x +30 ; x+ 2 2. 6x5 -5x*-…

A:

Q: 15. Explain why the following polynomial equation has no teal solutions: 0 = 5x8 + 10Ox + 7x + 18x2…

A: Given : Polynomial 0 = 5x8 + 16x6 + 7x4 + 18x2 + 132   To find : Why the given polynomial has no…

Q: If the remainder after dividing the polynomial (5x³ - 3.x* + k) by (x+ 1) is 4, which of the…

A:

Q: 3. If one of the factors of (x2 + 12x + 20)is (x + 10). Find the other factor

A:

Q: The polynomial -6x + 50x+ ax+ 24 has factors x-1 and 2x + 1. Determine the value of a.

A: Suppose px be the given polynomial such that px=-6x3+50x2+ax+24 And the factors of the polynomial…

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

A:

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: 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: According to Descartes' Rule of Signs, how many positive zeroS could the polynomial x* + 5x* – 2x² –…

A:

Q: 2. For what values of b will the polynomial ƒ (x) =-2x + bx² – 5x +2 have the same remainder when…

A:

Q: If the area of a trapezoid, A=1/2h (b1 + b2 ), is 2x2+19x+45 sqaure meters and the two parallel…

A: Suppose the area of the trapezoid is 2x2+19x+45 square meters and two parallel sides are x meters…

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

A:

Q: Solve the following polynomial: 2x4 - x2 -28= 0

A: given polynomial is quadratic equation in x^2.

Q: 6x²+5x-6

A: x = -3/2 , 2/3

Q: If (2x +3) is a factor of 4x + ax2 +2x +3, find the value of a. सनं म

A: a=?

Q: Find m so that x+4 is a factor of 5x^3 +18x^2+mx+16

A:

Q: Find the factors of the polynomial: 25b² – 144a?

A:

Q: The length, width, and height of a rectangular box are represented by 2r, 3x + 1, and 5x - 6,…

A: Use the formula for volume of the rectangular box and than simplify.

Q: From the given polynomials be able to solve each by factoring or any other way of solving to find…

A:

Q: If Va and Vb are real numbers and b + 0, the quotient rule for radicals states that a

A: Consider the given expression as abn

Q: Compute the remainder if we divide 2x³ + x² - 18x + 7 by x -2. A -8 в) -9 7 D 6

A: Compute the remainder

Q: Suppose three of the zeroes of the quintic polynomial 5x + 21x4 +74x³ + 191x² + 264x + 45 are -1/2,…

A: Given  three zeros

Q: If the area of a triangle is x2 −2x−24 m2 and the base is x−6 m, then what polynomial represents…

A:

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

A:

Q: how many polynomials are in this equation x^5-2x+x^9-9x^6

A: This is single polynomial of degree 9

Q: 5. If the remainder dividing the polynomial P(x) = 2x³ + kx? + 7x +6 by x- 4 is 114, find the…

A: Quotient Remainder theorem  The answer after we divide one number by another. dividend ÷ divisor =…

Q: Solve the following polynomial: xª -10r3-78x = -40x2 - 63 Select all that apply. Ox = 3…

A:

Q: find all the roots for the following polynomial and give the multiplicity for each root 2x6 (x-9)…

A: 2x6 (x-9) (x+5)2 (x-3)4 (x+5) (x-3)=0

Q: If it is given that -5 is one of the roots of the polynomial z* + 9z3 + 21z² + pz – 130 = 0, find…

A:

Q: 2. Add one term to the polynomial expression 14x19 – 9x²5 + 11x* + 5x² +3 to make it into a 22nd…

A:

Q: Match each expression with its equivalent polynomial. Answers may be used more than once. (3x – 2)…

A:

Q: 15) Find the remainder of the polynomial 5x4 – 3x3 + 9x – 1 when divided by x + 3

A:

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

A:

Q: 5x How many linear and distinct factors are in the denominator of x³ + x2 + 4x+4

A:

Q: Simplify by removing factors of 1. R -1 12- 2t + 1 12 -1 t2 - 2t + 1

A: To simplify the fraction (t²-1)/(t²-2t+1)

Q: Which polynomial gives a quotient of (3x^2 + 2x + 4) and a remainder of 19 when divided by (2x – 3)?…

A: We have to find polynomial on the basis of given information.

Q: Write the complete factored form off(x)=2x^3-3x^2-32x-15 given that k=-3 is a zero.

A: To calculate the complete factor of the function f(x)=2x3-3x2-32x-15 and the one zero of the…

Polynomials

Try substituting 1. You will get 6 and not 0. Try other real values also. What About -2? Let us check.