Q14 of 84 Page 55

Which polynomial is to be subtracted from x2 + 13x + 7 to get the polynomial 3x2 + 5x – 4?

Let the polynomial to be subtracted be ax2 + bx + c

3x2 + 5x – 4 = (x2 + 13x + 7) - (ax2 + bx + c)


(ax2 + bx + c) = (x2 + 13x + 7) – (3x2 + 5x – 4)


= (x2 – 3x2) + (13x – 5x) + (7 + 4)


= -2x2 – 8x + 11


Comparing with coefficients we get:


a= -2


b = -8


c = 11


Therefore, the polynomial is = -2x2 -8x + 11


More from this chapter

All 84 →
11

At the end of the year 2016, the population of villages Kovad, Varud, Chikhali is 5x2 – 3y2, 7y2 + 2xy and 9x2 + 4xy respectively. At the beginning of the year 2017, x2 + xy – y2,5xy and 3x2 + xy persons from each of the three villages respectively went to another village for education then what is the remaining total population of these three villages?

 12

Polynomials bx2 + x + 5 and bx3 – 2x + 5 are divided by polynomial x – 3 and the remainders are and respectively. If m – n =0 then find the value of b.

 13

Simplify.

(8m2 + 3m – 6) - (9m-7) + (3m2 – 2m + 4)

 15

Which polynomial is to be added to 4m + 2n + 3 to get the polynomial 6m + 3n + 10?