Question

Factor the polynomial 4x4 – 20x2 – 3x2 15 by grouping. what is the resulting expression? (4x2 3)(x2 – 5) (4x2 – 3)(x2 – 5) (4x2 – 5)(x2 3) (4x2 5)(x2 – 3)

Answer 1

The resulting expression for the factor of the provided polynomial with the help of grouping method is,

$(4x^2-3)(x^2-5)$

What is polynomial equation?

Polynomial equations is the expression in which the highest power of the unknown variable is n (n is real number).

Factor of a polynomial is the terms in linear form, which are when multiplied together, give the original polynomial equation as result.

The given polynomial equation is,

$4x^4 - 20x^2 -3x^2 +15$

Make the groups of the above equation by taking out, 4x^2 from first two terms and -3 from second equation.

$4x^4 - 20x^2 -3x^2 +15\\4x^2(x^2- 5) -3(x^2 -5)$

Take out the common group to simplify further.

$(x^2-5)(4x^2-3)\\(4x^2-3)(x^2-5)$

Thus, the resulting expression for the factor of the provided polynomial with the help of grouping method is,

$(4x^2-3)(x^2-5)$

Learn more about polynomial here;

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