Find the zeroes of the quadratic polynomial x2 -12 x + 35 and verify the relationshipbetween zeros and the coefficients class 10

Find the zeroes of the quadratic polynomial x2 -12 x + 35 and verify t

1.	Find the zeroes of the quadratic polynomial x2 -12 x + 35 and verify the relationshipbetween zeros and the coefficients class 10
Answer» <html><body><p><strong><a href="https://interviewquestions.tuteehub.com/tag/answer-15557" style="font-weight:bold;" target="_blank" title="Click to know more about ANSWER">ANSWER</a>:</strong></p><p>Zeroes = <a href="https://interviewquestions.tuteehub.com/tag/7-332378" style="font-weight:bold;" target="_blank" title="Click to know more about 7">7</a> & 5</p><p><strong>Step-by-step explanation:</strong></p><p> x² - 12x + 35</p><p>= x² - (7+5)x + 35</p><p>= x² - 7x - <a href="https://interviewquestions.tuteehub.com/tag/5x-326794" style="font-weight:bold;" target="_blank" title="Click to know more about 5X">5X</a> + 35</p><p>= x(x-7) - 5(x-7)</p><p>= (x-7)(x-5) </p><p><a href="https://interviewquestions.tuteehub.com/tag/therefore-706901" style="font-weight:bold;" target="_blank" title="Click to know more about THEREFORE">THEREFORE</a>, x = 7, 5</p><p>Now,</p><p> a = <a href="https://interviewquestions.tuteehub.com/tag/1-256655" style="font-weight:bold;" target="_blank" title="Click to know more about 1">1</a>, b = -12, c = 35</p><p>Sum of zeroes = -b/a</p><p> = -(-12)/1</p><p> = 12</p><p>Product of zeroes= c/a </p><p> =35/1.</p></body></html>