{"id":493,"date":"2022-04-13T05:21:20","date_gmt":"2022-04-13T05:21:20","guid":{"rendered":"http:\/\/8thclass.deltapublications.in\/?page_id=493"},"modified":"2025-02-23T06:40:11","modified_gmt":"2025-02-23T06:40:11","slug":"y-2-factorise-out-a-monomial","status":"publish","type":"page","link":"https:\/\/8thclass.deltapublications.in\/index.php\/y-2-factorise-out-a-monomial\/","title":{"rendered":"Y.2 Factorise out a monomial"},"content":{"rendered":"\n

Factorise out a monomial<\/strong><\/h2>\n\n\n\n

Key Notes:<\/p>\n\n\n\n

To factorise a polynomial, first find the highest common factor (HCF) of each monomial. Then factor out the highest common factor using the distributive property.<\/p>\n\n\n\n

Learn with an example<\/strong><\/p>\n\n\n\n

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\ud83d\udc49 Factorise out the highest common factor. If the highest common factor is 1, just retype the polynomial.<\/strong><\/p>\n\n\n\n

4u3<\/sup>+10u2<\/sup>=——<\/p>\n<\/div><\/div>\n\n\n\n

First, factorise each monomial and find the common factors.<\/p>\n\n\n\n

4u3<\/sup>=2<\/strong> . 2 . u . u . u<\/p>\n\n\n\n

10u2<\/sup>=2<\/strong> . 5 . u . u<\/p>\n\n\n\n

The common factors are 2, u and u. Multiply them to find the highest common factor.<\/p>\n\n\n\n

2 . u . u=2u2<\/sup><\/p>\n\n\n\n

The highest common factor is 2u2<\/sup>.<\/p>\n\n\n\n

Now factorise out 2u2<\/sup>.<\/p>\n\n\n\n

4u3+10u2<\/p>\n\n\n\n

=2<\/strong>u2<\/sup><\/strong> . 2u+2<\/strong>u2<\/sup><\/strong> . 5<\/p>\n\n\n\n

=2<\/strong>u2<\/strong>(2u+5)<\/p>\n\n\n\n

The factorised form of the polynomial is 2u2<\/sup>(2u+5).<\/p>\n<\/div><\/div>\n<\/div><\/div>\n\n\n\n

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\ud83d\udc49 Factorise out the highest common factor. If the highest common factor is 1, just retype the polynomial.<\/strong><\/p>\n\n\n\n

4g2<\/sup>+6g=———<\/p>\n<\/div><\/div>\n\n\n\n

First, factorise each monomial and find the common factors.<\/p>\n\n\n\n

4g2<\/sup>=2<\/strong> . 2 . g . g<\/p>\n\n\n\n

6g=2<\/strong> . 3 . g<\/p>\n\n\n\n

The common factors are 2 and g. Multiply them to find the highest common factor.<\/p>\n\n\n\n

2 . g=2g<\/p>\n\n\n\n

The highest common factor is 2g.<\/p>\n\n\n\n

Now factorise out 2g.<\/p>\n\n\n\n

4g2<\/sup>+6g<\/p>\n\n\n\n

=2<\/strong>g . 2g+2<\/strong>g . 3<\/p>\n\n\n\n

=2<\/strong>g(2g+3)<\/p>\n\n\n\n

The factorised form of the polynomial is 2g(2g+3).<\/p>\n<\/div><\/div>\n<\/div><\/div>\n\n\n\n

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\ud83d\udc49 Factorise out the highest common factor. If the highest common factor is 1, just retype the polynomial.<\/strong><\/p>\n\n\n\n

6w2<\/sup>\u20134w=——<\/p>\n<\/div><\/div>\n\n\n\n

First, factorise each monomial and find the common factors.<\/p>\n\n\n\n

6w2<\/sup>=2<\/strong> . 3 . w . w<\/p>\n\n\n\n

\u20134w=\u20131 . 2<\/strong> . 2 . w<\/p>\n\n\n\n

The common factors are 2 and w. Multiply them to find the highest common factor.<\/p>\n\n\n\n

2 . w=2w<\/p>\n\n\n\n

The highest common factor is 2w.<\/p>\n\n\n\n

Now factorise out 2w.<\/p>\n\n\n\n

6w2\u20134w<\/p>\n\n\n\n

=2<\/strong>w . 3w+2<\/strong>w . \u20132<\/p>\n\n\n\n

=2<\/strong>w(3w\u20132)<\/p>\n\n\n\n

The factorised form of the polynomial is 2w(3w\u20132).<\/p>\n<\/div><\/div>\n<\/div><\/div>\n\n\n\n

let’s practice!<\/p>\n\n\n\n

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Factorise out a monomial Key Notes: To factorise a polynomial, first find the highest common factor (HCF) of each monomial. Then factor out the highest common factor using the distributive property. Learn with an example \ud83d\udc49 Factorise out the highest common factor. If the highest common factor is 1, just retype the polynomial. 4u3+10u2=—— First, factorise each monomial and findContinue reading “Y.2 Factorise out a monomial”<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"om_disable_all_campaigns":false,"_monsterinsights_skip_tracking":false,"_monsterinsights_sitenote_active":false,"_monsterinsights_sitenote_note":"","_monsterinsights_sitenote_category":0,"footnotes":""},"class_list":["post-493","page","type-page","status-publish","hentry","entry"],"aioseo_notices":[],"_hostinger_reach_plugin_has_subscription_block":false,"_hostinger_reach_plugin_is_elementor":false,"_links":{"self":[{"href":"https:\/\/8thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/493","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/8thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/8thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/8thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/8thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/comments?post=493"}],"version-history":[{"count":22,"href":"https:\/\/8thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/493\/revisions"}],"predecessor-version":[{"id":19941,"href":"https:\/\/8thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/493\/revisions\/19941"}],"wp:attachment":[{"href":"https:\/\/8thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/media?parent=493"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}