Question

-7m⁴+5m³+√2 ; 5m⁴-3m³+2m²+3m-6 Add the given polynomial.

Answer 1

Answer:

Before solving this question we assume x is equal to m

$m = x$

now

$- 7 {x}^{4} + 5 {x}^{3} + \sqrt{2} + 5 {x}^{4} \\ - 3 {x}^{3} + 2 {x}^{2} + 3x - 6 \\ \\ = - 2 {x}^{4} + 2 {x}^{3} + 2 {x}^{2} \\ + 3x - (6 - \sqrt{2} )$

Answer 2

Step-by-step explanation:

To add the polynomial,keep the point in mind;Coefficient of same degrees can be added and subtracted

let p1= -7m⁴+5m³+√2 ;

p2= 5m⁴-3m³+2m²+3m-6

$p1+p2=> - 7{m}^{4} + 5 {m}^{3} + \sqrt{2} + 5{m}^{4} - 3 {m}^{3} + 2 {m}^{2} + 3m - 6 \\ \\=> {m}^{4}( - 7 + 5) + {m}^{3} (5 - 3) + 2 {m}^{2} + 3m + \sqrt{2} - 6 \\ \\ =>{m}^{4}( - 2) + {m}^{3} (2) + 2 {m}^{2} + 3m + \sqrt{2} - 6 \\ \\=> - 2{m}^{4} + 2{m}^{3} + 2 {m}^{2} + 3m + \sqrt{2} - 6$

Hope it helps you