Previous Year Papers

Download Solved Question Papers Free for Offline Practice and view Solutions Online.

Test Series

Take Zigya Full and Sectional Test Series. Time it out for real assessment and get your results instantly.

Test Yourself

Practice and master your preparation for a specific topic or chapter. Check you scores at the end of the test.

Polynomials

Long Answer Type

441. Find all the zeros of the polynomial 2x⁴ + 7x³ – 19x² – 14x + 30, if two of its zeros are

square root of 2 space and space minus square root of 2

3131 Views

Short Answer Type

442. What real number should be subtracted from the polynomial 3x² + 10x²– 14x + 9, so that the polynomial 3x– 2 divides it exactly ?

134 Views

Long Answer Type

443.
Find all other zeroes of $straight x to the power of 4 plus straight x cubed minus 23 straight x squared minus 3 straight x plus 60 comma$ if it is given that two of its zeroes are $square root of 3 space and space minus square root of 3.$

Since two zeroes are $square root of 3 space and space minus square root of 3$
$rightwards double arrow$ $left parenthesis straight x minus square root of 3 right parenthesis space left parenthesis straight x plus square root of 3 right parenthesis space equals space straight x squared minus 3$ is a factor of the given polynomial. Now,
Since two zeroes are is a factor of