Question

Find all zeros of polynomial 2 x ki power 4 - 9 x cube

Answer 1

Answer:

4 and 0.5

Step-by-step explanation:

Note: I'm assuming your question is $2x^2-9x+4$

Let $p(x)=2x^2-9x+4$

∵ p(x) is quadratic, it has 2 zeroes.

$p(x)\\=2x^2-9x+4\\=2x^2-(8+1)x+4\\=2x^2-8x-x+4\\=2x(x-4)-1(x-4)\\=(x-4)(2x-1)$

$x-4=0\\=>x=4$

$2x-1=0\\=>2x=1\\=>x=1/2=0.5$

∴ (x-4) and (2x-1) are factors of p(x)

or 4 and 0.5 are zeroes of p(x)

Answer 2

Step-by-step explanation:

NOTE:

If the question is 2x²-9x+4