Question

Without actual divisions prove that 2x^4-5x^3 +2x^2-x+2 is exactly divisible by x^2-3x^2?​

Answer 1

Step-by-step explanation:

Without actual division, prove that 2x4 – 5x3 + 2x2 – x+ 2 is divisible by x2-3x+2.

Thinking Process

(i) Firstly, determine the factors of quadratic polynomial by splitting middle term.

(ii) The two different values of zeroes put in bioquadratic polynomial.

(iii) In both the case if remainder is zero, then bioquadratic polynomial is divisible by

quadratic polynomial.