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EQ . How are polynomials like whole#'s ?
= 2000 t 600+70+5
2×3 t6×2+7×+5
XZ t3×+2
+ 4×2+5X H-
5×2+8×+3
They are the same because they are addinglike terms . They are different
because
polynomials can have coefficients greaterthan9
therefore there is no needfor regrouping .
Also, polynomials can have negaNYt⑧⑧⑧g%qfµ
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2*2+5×-12 113+3×2 -2×+10+ '
'
I:¥::÷¥÷ t.IE?sIIIQuadratic Trinomial Cubic Trinomial Cubic Polynomial
4×2+5×4 - 3y2 +8×9+392 4×2+5×9 -3g?
+ sexy 2x44 ×2-7×y +4- #441¥ 2×712×91-347 g×z-2×y-3yZt4✓Quadratic Binomial QuadraticTrinomial QuadraticPolynomial
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• If the degrees arethe same the degreestays the same unlessopposite coefficients
• wdhegerneeudsofheadrdestIEFYY.IT iaaehssreoetodiffeereinoterpoynomid.
3×2 the X t8-x2-52×2 tX t l
yes
Yes , addition q subtraction are inversemommies . sigbggn-EBEEEEBE.rs
the opposite .
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4×2- X - 15 x's +2×2-7×-8 +3+2×2-7×-8
+ ×2 -7×-4 - 4×2 txt's+4×+7--15=-8×-191X-¥×3t2x2-3Quadratic Trinomial Cubic polynomial Cubic Polynomial
- x2t7xt4 5×2+4 x y -7g?
- ×3 -2×2+7×+8 +10×2 Hzxy -9y2 - 4--123-3×2714×+12=7 l5X2tl6xy-l6yZ-4#Cubic polynomial Quadratic Polynomial
• All the terms in the second polynomialtreed to be subtracted (Everthingterm opposite)
• Only subtractlike Terms !
• Subtraction can bewritten as addition
to
avoid sign errors.- --