Question

Find the common zeroes of all the polynomial x3+5x2-9x-45 and x3+8x2+15x​

Answer 1

$\huge\underline\mathfrak\red{Solution}:-$

Let p(x) x³+5x²-9x-45 and x³+8x²+15x

= x³+5x²-9x²-45=x³+8x²+15x

Now, x³+8x²+15x

↬x³+5x+3x+15x

↬x(x+5)+3(x+5x)

↬(x+5) and (x+3) are the common zereos.

Answer 2

Correct question= Find the common zeroes of all the polynomial x3+5x2-9x-45 and x3+8x2+15x

Solution⬇️

Let P(x) = x3 + 5x2 - 9x - 45 and Q(x) = x3 + 8x2 + 15x.

Let P(x) = x3 + 5x2 - 9x - 45 = x2(x + 5) - 9 (x+5)

= (x+5) (x2 - 9)

= (x+5) (x+3) (x-3)

Q(x) = x3 + 8x2 + 15x = x(x2 + 8x + 15)

= x (x+5) (x+3) ∴ The common zeroes of the polynomials are (x+5) and (x+3).

polynomials are (x+5) and (x+3).