A quadratic polynomial y = 4x2 + 7x – 3 has roots p and q. Find a quadratic g(x) x2 + ax + Bwith roots r = and s = 1 O a. g(x) = æ² + - O b. g(x) = x² + 4 + = r2 O c. g(x) O d. g(x) 3 | + | | || ||

Q: A quadratic polynomial y = 4x² + 7x – 3 has roots p and q. Find a quadratic g(x) = x + ax + Bwith…

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Q: Which of the following is a polynomial function?

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Q: The polynomial function f(x) = ax° + bx² + cx + d is a polynomial, where a, b, c, and d are real…

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Q: 2. Write the polynomial f(x) = 5x-4 in the form f(x) = (x−2)Q(x) + f(2) for some polynomial Q(x).

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Q: Write the the function f(x) = x² – 2x + 6 in the form f(x) = a(x – p)² + q by completing the square:…

A: Given function f(x)=x2-2x+6. The objective is to write the function in the form f(x)=a(x-p)2+q by…

Q: 5 Calculate the roots of the following polynomial equations: (a) x³ – 6x² + 11x – 6 = 0 given x = 1…

A: Topic = Polynomials

Q: A quadratic polynomial y = 4x² + 7x – 3 has roots p and q. Find a quadratic g(x) = x² + ax + ß with…

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Q: A. Convert the following quadratic functions y ax? + bx + c in the form y = a(x - h) + k 1. y = x² +…

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Q: Find m so that x– 5 is a factor of f (x)= 4x² – 21x² +mx–15.

A: Consider the given polynomial fx=4x3-21x2+mx-15

Q: Find the roots of the function h(z) 4 %3D Z-5 Z-8 27

A: We have to find the roots of the function  h(z) = zz-5-4z-8.

Q: 1ess of q(x) = xỉ + 2V6x,x2 + 2x?

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Q: Which polynomial function in standard form has a root of multiplicity 1 at x= 3, and a root of…

A: A polynomial function has a root of multiplicity 1 at x=3, and a root of multiplicity 2 at x=4

Q: The quadratic form Q(x) = -3x,? – 7x2? – 4x3? is %3D (a) Negative definite (b) Indefinite (c)…

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Q: Given that x = 2 is one root of g(x) = 2x* + 4x – 9x² – 11x – 6 = 0, use factorisation to determine…

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Q: Find the roots of the polynomial: f (x) = 2(x – 5)³ + 16.

A: Given f(x)=2x-53+16

Q: If a and B are the zeros of the quadratic polynomial f(x) = ax? + bx + c,then evaluate: (19 a? B.…

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Q: Let p(x)-x-5x?+4x-20. Verify that p(5)-0 and find the other roots of p(x)-D0.

A: p(x)= x3 - 5 x2 + 4x -20   Verify that p(5)=0; p(5)= 53- 5*52+4(5)-20 p(5)=0   Hence, x= 5 is one…

Q: Determine the roots of the function f(x) = (52" – 6)² – (5²" – 6) – 12. -

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Q: n which interval does the polynomial function f ( x ) = x 3 − x 2 − 31 have a zero?

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