Question

If (x²-4)(x² -9) represents a polynomial
, then the coefficients of descending powers of x are
id
a) 1, 0, 13, 0, 36
b) 1,0, 13.0,-36
c) 1,0, -13,0, -36
d) 1, 0, -13,0, 36​

Answer 1

The coefficients of descending powers of x for polynomial (x²-4)(x² -9) are 1, 0, -13, 0, 36.  

Given:

(x²-4)(x² -9) represents a polynomial

To find:  

The coefficients of descending powers of x

Solution:    

Given Polynomial (x²-4)(x² -9)  

=> x⁴ - 9x² - 4x² + 36  

=>  x⁴ - 13x² + 36  

Coefficients:  

In Mathematics, a Coefficient is a numerical or constant quantity that is placed before a variable and multiplied by the variable in an algebraic expression.

The coefficients of descending powers of x for Polynomial ax³+bx²+cx+d  will be given below  

=> a, b, c, d

   

From the above calculations,

The coefficients of descending powers of x for polynomial x⁴ - 13x² + 36 are 1, 0, -13, 0, 36  

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