You visited us 51 times! Enjoying our articles? Unlock Full Access!

Quadratic Equation as Product of 2 First Degree Equations

Which of the ...

Question

Which of the following polynomials below is identical to the polynomial $(x^{2} - 1) (x^{2} - 4)$ ?

$x^{4} + 4$

No worries! We‘ve got your back. Try BYJU‘S free classes today!

$x^{2} + 5 x + 4$

No worries! We‘ve got your back. Try BYJU‘S free classes today!

$(x^{2} + 1) (x^{2} + 4)$

No worries! We‘ve got your back. Try BYJU‘S free classes today!

$(x^{2} + x - 2) (x^{2} - x - 2)$

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

Open in App

Solution

The correct option is D
$(x^{2} + x - 2) (x^{2} - x - 2)$

$(x^{2} - 1) (x^{2} - 4) = (x^{2} - 1^{2}) (x^{2} - 2^{2})$
= $(x + 1) (x - 1) (x - 2) (x - 2)$
And $(x^{2} + x - 2) (x^{2} - x - 2)$
$= (x^{2} + 2 x - x - 2) (x^{2} - 2 x + x - 2)$
= $(x (x + 2) - 1 (x + 2)) (x (x - 2) + 1 (x - 2))$
= $(x - 1) (x + 2) (x + 1) (x - 2)$

Suggest Corrections

Similar questions

(x^{2} - 1) (x^{2} - 4)

\int x \sqrt{\frac{1 - x^{2}}{1 + x^{2}}} d x =

(x - 2)^{2}

x^{4} + x^{2} + 1

(x + 1) (x^{2} - x + 1)

a x + b

a + b

x^{4} + x^{2} + 1

(x + 1) (x^{2} - x + 1)

a x + b

a + b

Join BYJU'S Learning Program