one of the zeros of the polynomial 2x square + 7 x minus 4
Answers
Answer:
Hi buddy this will be your answer.
p(x)=2x^(2)+7x-4
p(0)=2(0)^(2)+7 (0)-4
p(0)=0+0-4
p (0)=-4
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answer
Question:
One of the zeroes of the polynomial 2x² + 7x - 4 = 0 is 1/2. Find the other zero.
Solution:
Since 1/2 is a zero of 2x² + 7x - 4 = 0, then (x - 1/2) can be a factor.
To get it easier, since the coefficient of x² is 2 and 1/2 is a zero, we change the factor (x - 1/2) as (2x - 1). This makes the coefficient of x of the other factor, 1.
Let that factor be (x - a), where a is the other zero of the polynomial. We have to find the value of a.
Now,
(2x - 1)(x - a) = 2x² + 7x - 4
2x² - 2ax - x + a = 2x² + 7x - 4
2x² - (2a + 1)x + a = 2x² + 7x - 4
From here, taking the constant term from both sides. we get,
a = - 4
Hence, - 4 is the answer.