[48] Given that x = – 2 is a solution to 𝑥2+𝑏𝑥–6=0,x 2 +bx–6=0, which of the following polynomials is a factor of 𝑥2+𝑏𝑥–6?x 2 +bx–6?
Question
[48] Given that x = – 2 is a solution to 𝑥2+𝑏𝑥–6=0,x 2 +bx–6=0, which of the following polynomials is a factor of 𝑥2+𝑏𝑥–6?x 2 +bx–6?
Solution
Given that x = -2 is a solution to the equation x^2 + bx - 6 = 0, we can use the fact that if a number is a solution to a polynomial equation, then the corresponding binomial is a factor of the polynomial.
The binomial corresponding to x = -2 is (x + 2), because if we set x + 2 = 0, we get x = -2.
Therefore, (x + 2) is a factor of the polynomial x^2 + bx - 6.
Similar Questions
Given that x = – 2 is a solution to 𝑥2+𝑏𝑥–6=0,x 2 +bx–6=0, which of the following polynomials is a factor of 𝑥2+𝑏𝑥–6?x 2 +bx–6?F. x – 3 G. x – 2 H. x –1 J. x + 1 K. x + 3 InfoInstr123456789101112131415161718192021222324252627282930313233343536373839404142434445464748495051525354555657585960 Flag
Factor this polynomial completely.12x2 + x – 6A.(4x – 2)(2x + 3)B.(3x – 2)(4x + 3)C.(12x – 2)(x + 3)D.(12x – 3)(x + 2)
The polynomial (x - 2) is a factor of the polynomial 5x2 - 6x + 4.A.TrueB.FalseSUBMITarrow_backPREVIOUS
Given x − 6 is a factor of f(x) = x3 + 5x2 − 48x − 108, determine the othertwo linear factors of f(x).
factorise the polynomial x3 + 4x2 + x − 6
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.