(x-sqrt3)^(2)(x-sqrt7) Given the polynomial, what are its zeros? Choose 1 answer: (A) x=-sqrt3 and x=-sqrt7 (B) x=sqrt3 and x=sqrt7 (c) x=3 and x=sqrt7 (D) x=-3 and x=-sqrt7

Factored Polynomial: Factored polynomial: (x - sqrt(3))^2(x - sqrt(7)) Which equation finds the zeros for this polynomial? Set the polynomial equal to zero. (x - sqrt(3))^2(x - sqrt(7)) = 0Finding Zeros: First, consider the factor (x - sqrt(3))^2 = 0. What is the value of x? Take the square root of both sides. x - sqrt(3) = 0 x = sqrt(3)Solving (x - sqrt(3))^2 = 0: Now, consider the factor (x - sqrt(7)) = 0. What is the value of x? x = sqrt(7)Solving (x - sqrt(7)) = 0: We have found the zeros of the polynomial: x = sqrt(3) x = sqrt(7) These are the roots of the polynomial.

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Math Problems

Algebra 2

Find the roots of factored polynomials

Full solution

(x-\sqrt{3})^{2}(x-\sqrt{7})

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Given the polynomial, what are its zeros?

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Choose

1

answer:

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(A)

x=-\sqrt{3}

and

x=-\sqrt{7}

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(B)

x=\sqrt{3}

and

x=\sqrt{7}

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(C)

x=3

and

x=\sqrt{7}

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(D)

x=-3

and

x=-\sqrt{7}

Factored Polynomial: Factored polynomial: $(x - \sqrt{3})^2(x - \sqrt{7})$ $\newline$ Which equation finds the zeros for this polynomial? $\newline$ Set the polynomial equal to zero. $\newline$ $(x - \sqrt{3})^2(x - \sqrt{7}) = 0$
Finding Zeros: First, consider the factor $(x - \sqrt{3})^2 = 0$ . $\newline$ What is the value of $x$ ? $\newline$ Take the square root of both sides. $\newline$ $x - \sqrt{3} = 0$ $\newline$ $x = \sqrt{3}$
Solving $(x - \sqrt{3})^2 = 0$ : Now, consider the factor $(x - \sqrt{7}) = 0$ . $\newline$ What is the value of $x$ ? $\newline$ $x = \sqrt{7}$
Solving $(x - \sqrt{7}) = 0$ : We have found the zeros of the polynomial: $\newline$ $x = \sqrt{3}$ $\newline$ $x = \sqrt{7}$ $\newline$ These are the roots of the polynomial.