9:{"metadata":[["$","title","0",{"children":"IPMAT Indore 2022 (SA) - The sum of the coefficients of all the terms in the expansion of (5 x-9)^4 is __________. | PYQs + Solutions | AfterBoards"}],["$","meta","1",{"name":"description","content":"undefined To find the sum of coefficients in any polynomial expansion, substitute x = 1. =(5x - 9)^4 =(5(1) - 9)^4 =(5 - 9)^4 =(-4)^4 =256

How does this work? When we expand (5x - 9)^4, we >=t: ax^4 + bx^3 + cx^2 + dx + e To find a + b + c + d + e, substitute x = 1: a(1)^4 + b(1)^3 + c(1)^2 + d(1) + e = a + b + c + d + e This method works for any polynomial and is much faster than full expansion. The sum of coefficients = 256

You do not have to expand it entirely:

"}],["$","link","2",{"rel":"manifest","href":"https://www.afterboards.in/manifest.json","crossOrigin":"$undefined"}],["$","meta","3",{"name":"keywords","content":"IPMAT Indore,SA,Modern Math,Binomial Theorem"}],["$","meta","4",{"name":"robots","content":"index, follow"}],["$","meta","5",{"name":"category","content":"education"}],["$","meta","6",{"name":"google-site-verification","content":"google"}],["$","meta","7",{"property":"og:title","content":"IPMAT Indore 2022 (SA) - The sum of the coefficients of all the terms in the expansion of (5 x-9)^4 is __________. | PYQs + Solutions"}],["$","meta","8",{"property":"og:description","content":"undefined To find the sum of coefficients in any polynomial expansion, substitute x = 1. =(5x - 9)^4 =(5(1) - 9)^4 =(5 - 9)^4 =(-4)^4 =256

You do not have to expand it entirely:

"}],["$","meta","9",{"property":"og:url","content":"https://www.afterboards.in/ipmat-jipmat-past-year-questions/ipmat-indore-2022/SA/8"}],["$","meta","10",{"property":"og:site_name","content":"AfterBoards | IPMAT Preparation"}],["$","meta","11",{"property":"og:image","content":"https://balti.afterboards.in/pyq/indore2022/sa/7.webp"}],["$","meta","12",{"property":"og:type","content":"website"}],["$","meta","13",{"name":"twitter:card","content":"summary_large_image"}],["$","meta","14",{"name":"twitter:site","content":"afterboards.in"}],["$","meta","15",{"name":"twitter:title","content":"IPMAT Indore 2022 (SA) - The sum of the coefficients of all the terms in the expansion of (5 x-9)^4 is __________. | PYQs + Solutions"}],["$","meta","16",{"name":"twitter:description","content":"undefined To find the sum of coefficients in any polynomial expansion, substitute x = 1. =(5x - 9)^4 =(5(1) - 9)^4 =(5 - 9)^4 =(-4)^4 =256

You do not have to expand it entirely:

"}],["$","meta","17",{"name":"twitter:image","content":"https://balti.afterboards.in/pyq/indore2022/sa/7.webp"}],["$","link","18",{"rel":"shortcut icon","href":"https://www.afterboards.in/favicon.ico","type":"image/x-icon","sizes":"48x48"}],["$","link","19",{"rel":"icon","href":"https://www.afterboards.in/favicon.ico","type":"image/x-icon","sizes":"48x48"}],"$L18","$L19","$L1a","$L1b","$L1c","$L1d","$L1e"],"error":null,"digest":"$undefined"}

IPMAT Indore 2022 (SA) PYQs

Keyboard Shortcuts