Find the zeroes of the quadratic polynomial x^2+7x+10 and verify the relationship between the zeroes and the coefficients.
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Find the zeroes of the quadratic polynomial x^2+7x+10 and verify the relationship between the zeroes and the coefficients.
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Answer:
[tex]x {}^{2} + 7x + 10[/tex]
[tex]x {}^{2} + 5x + 2x + 10[/tex]
[tex]x(x + 5) + 2(x + 5)[/tex]
[tex](x + 2)(x + 5)[/tex]
[tex]x = - 2 \: and \: x = - 5[/tex]
[tex]sum \: of \: zeros = - b \: by \: a[/tex]
[tex] = - 7[/tex]
[tex]product \: of \: zeros = c \: by \: a[/tex]
[tex] = 10[/tex]
[tex]verification [/tex]
[tex]sum \: of \: zeros = - 5 + ( - 2) = - 7[/tex]
[tex]product \: of \: zeros = - 5 \times - 2 = 10[/tex]
hope it will help you..
Answer:
x^2+7x+10
x^2+5x+2x+10
x(x+5) +2 (x+5)
(x+2) (x+5)