If a and B are the zeros of the quadratic polynomial f(x) = ax? + bx + c,then evaluate: (19 a? B. (ii) 1 (i)a? + B? (iii)a° +ß³ (iv); (v)- a a a

Q: B. Find the integral zeros of the following polynomial equations. 1. x-19x - 30 = 0 2. x + 5x2 - 2-…

A: we solve this problem using synthetic division, look at step 2

Q: The Range of the quadratic function f(x) = -x² + 18x + 52 is O [-9, 00) O [52, 0) O (0,9] O (-∞0,…

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Q: If a and 3 are the zeroes of the quadratic polynomial f(x) = x² + x − 2, then find the value of (i)α…

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Q: Solve the following polynomial equations.  a) 2X3+1=x2+2X b) x3+6x2+11x+6=0 C)x5-4x3-x2+4=0…

A: Zero Factor Principle : If  ab = 0  then  a = 0  or  b = 0 .

Q: Find the zeros of the polynomial f(u) = 4u + 8u, and verify the relationship between the zeros and…

A: f(u) = 4u2 + 8u To Find the zeros of the polynomial f(u) and To verify the relationship between the…

Q: Find the roots of the quadratic polynomials: f (x) = 4x2 − 3x − 1

A: Given f (x) = 4x2 − 3x − 1

Q: Find the zeroes of the quadratic polynomial x2+7x+10, and verify the relationship between the zeroes…

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Q: Find the quadratic polynomial if the zeroes of it are 2 and 1/3 respectively.

A: Find the quadratic polynomial

Q: The zeros of the polynomial P(x) = x* + 3x2 - 4 are %3D (a) 2i,-2i, i and - i (b) 2,-2, i and – i…

A: To find the zeroes

Q: Find the zeroes of the quadratic polynomial x?+7x + 10, and verify the relationshin between the…

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Q: Find all real solutions of the polynomial equation x* - 7x + 42x - 36 = 0. х%3D 1,-36, 12 х%3D 1,-7,…

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Q: Show that the cubic polynomial p(x)=ax^3+bx^2+cs+d has exactly one point of inflection (x0,y0),…

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Q: Suppose f (x) = x² + 2x + 1. Find the vertex, vertical intercept, and x-intercepts of this quadratic…

A: The objective of the question is evaluate vertex , vertical intercept and  x-intercept.

Q: 11. Use the quadratic formula to explain why a quadratic polynomial function f(x) = ax? + bx +c is…

A: fx=3x2+2x+6

Q: Find the quadratic polynomials whose zeroes are  (i) 3,4 (ii)2,1

A: The objective is to find the quadratic polynomials whose zeroes are  (i) 3,4 (ii)2,1

Q: 7. Whic. nction is not quadratic? a. f(x) = 3x(x +91) %3D b. 25x - 49y = 100 %3D c. 14x - 12 = 21x…

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Q: C. Pick the correct roots/zeros in the following polynomial equations: 1. x-7x+ 6 0 (6, -1, 2 1,…

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Q: Find the quadratic polynomials whose zeroes (i)3,-4 (ii)2,1

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Q: Find the quadratic polynomial whose zeroes are i) 3,-4 ii)2,1

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Q: 11. What is the constant term of the polynomial function f(x)= x´(5x+3)(3x-7)? D. 0 A. 1 В. 2 С.3

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: What is the equation of a quadratic in standard form, given the zeros x = 3 and x = 6 and the point…

A: The solution is given below.

Q: If a and ß are the zeros of the quadratic polynomial f(x) = ax + bx+c, then evaluate: a* + B* .

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Q: A certain quadratic function has the factors (2x−5) and (3x+4). What are the zeros of the function?

A: To find the zeros of the function we have to set the factors equal to 0, and then solve for x. Given…

Q: If alpha and beta are zeroes of the quadratic polynomial x2 -6x + y. Find the value of the of y if…

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Q: Find the roots of the quadratic polynomials:(a) f (x) = 4x 2 - 3x - 1 (b) f (x) = x 2 - 2x - 1

A: We set them equal to 0 and solve for x we first factor the left side then we set each factor equal…

Q: A 4th degree polynomial, has the following zeros -2, -V2, v2 and 3, with leading coefficient 4. What…

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Q: 21. Find the discriminant of the quadratic function f(x) = x² + 18x + 81. O 648 O 324 O -324

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Q: .Solve the following polynomial equations.  a)  2X2+1=x2+2X b)   x3+6x2+11x+6=0 C)  x5-4x3-x2+4=0…

A: Note: As per company guidelines we are supposed to solve only 3 subparts of the question. So, kindly…

Q: 4. Use the quadratic formula to find the zeros of each function. a. f(x) = 3x² + 5x – 2 %3D b. f(x)…

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Q: Find a quadratic polynomial such that f(1) = 5, f'(1) = 4, and f"(1) = 8.

A: The quadratic polynomial is of the form: f(x)=ax2+bx+c...(1) Now,…

Q: Find the quadratic function f(x) = ax² + bx+c for which f(1) = -19, f(-2)= -28, and f(2)= - 44. What…

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Q: What are all the zeros of the polynomial function f(x)=x³ + 3x² – 6x – 16? A -1+/33 x = - 2, x =…

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Q: 2. Which polynomial equation has 1, -2, and 3 as roots? A. P(x) = (x + 1) (x – 2) (x + 3) B. P(x) =…

A: Here in the given question we are provided with roots as 1, -2 and 3. And we are asked to find…

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: If a and ß are the zeros of the quadratic polynomial f (x) = kx² + 4x + 4 such that a“ + B² =…

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Q: Find a polynomial equation with real coefficients that has t 8, 9-i The polynomial equation is

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Q: Find the equation of the polynomial with roots √2 and -5i, real coefficients, and passing through…

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Q: The quadratic form Q(x) = 3x1? – 7x,² + 4x3? is (a) Negative definite (b) Indefinite (c) Positive…

A: Given a quadratic form we write it in the form of matrix multiplication as…

Q: 18. What quadratic function that passes the point (2, 1) and to its only zero of 3? A. y = x2-6x - 9…

A: Follow the procedure given below.

Q: Which polynomial function has zeros -2, ½, 2, 1? O A. y = 2x^4 - 3x^3 – 7x*2 +12x - 4 O B. y = 2x^3…

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Q: What is the equation of a quadratic function P with rational coefficients that has a zero of 3 - i?…

A: We need to determine the equation of a quadratic function P with rational coefficients that has a…

Q: What is the degree of the polynomial 9 - 3x + 4y - x2? O 1 O 2 3. O 4

A: Degree is heightest power of polynomial.

Q: Find a quadratic polynomial whose zeroes are (i)3, -4 (i)2, 1

A: Quadratic  equation = x2-(Sum of zeroes)x + product of zeroes =0

Q: Show that the cubic polynomial p(x) = ax3 + bx2 + cx + d has exactly one point of inflection (x0,…

A: Given Data The cubic polynomial equation is p(x)=ax3+bx2+cx+d. The equation is p(x)= x3-3x2+2.…

Q: Find the zeroes of the polynomial f(u) =4u2+8u,and verify the relationship between the zeroes and…

A: Solution: The objective is to find the zeroes of the given polynomial

Q: If 1 is  a zero of the polynomial  p(x) = ax2 - 3 (a - 1 )x - 1 , then Find the value of a

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Q: Consider the polynomial equation of P(z) = 0 where %3D P(z) = 1* – 2 –2² – z – 2. (a) What are the…

A: Topic:- algebra

Q: 2. Determine the exact real roots for the polynomial equations. a) 8x¹ + x = 0 b) x³ = 5x - 4

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Q: Consider the polynomial p (x) = 2 (x + 1) (x – 3)² (A) As х — —о y →? (B) As y →? (C) Find the zeros…

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