The graph of the polynomial x3-5x2-2x+24 cuts the x axis at -2,0. Find its zeros
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If the graph cuts the x axis at (-2,0), then (x+2) is definitely a factor of P(x).
Now on dividing P(x) by (x+2), in order to find the zeroes and also to verify if (x+2) is a factor, the quotient comes out to be
x²-7x+12
Then break the middle term or apply quadratic equation (as per your convenience). On doing so, you get two factors (x-3)(x-4). This means that 3 and 4 are also the zeroes of P(x).
∴all zeroes are 3,4,-2.
We are correct as a cubic polynomial has 3 zeroes as its degree is 3.
P.S.- I couldn't upload a picture of the full solution as I am not using my mobile write now. Regret for that. But if you understood my answer, please mark it as the brainliest!!
Now on dividing P(x) by (x+2), in order to find the zeroes and also to verify if (x+2) is a factor, the quotient comes out to be
x²-7x+12
Then break the middle term or apply quadratic equation (as per your convenience). On doing so, you get two factors (x-3)(x-4). This means that 3 and 4 are also the zeroes of P(x).
∴all zeroes are 3,4,-2.
We are correct as a cubic polynomial has 3 zeroes as its degree is 3.
P.S.- I couldn't upload a picture of the full solution as I am not using my mobile write now. Regret for that. But if you understood my answer, please mark it as the brainliest!!
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