Question

Find all the common zeroes of the polynomials
Find all the common zeros of the polynomials: x³+5x²-9x-45 and x³+8x²+15x.​​

Answer 1

Answer:

$\huge \bf \underline{QUESTION}$

Find all the common zeros of the polynomials: x³+5x²-9x-45 and x³+8x²+15x.

$\huge \bf \underline {ANSWER}$

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)

$\bf \therefore The \: common \: zeroes \: of \: the \: polynomials \: are \\ \bf(x + 5)and(x + 3).$