Chhattisgarh Board Solutions for Exercise 13: Exercise

When $-u^7+A{u}^6-4u^2–u–6$ is added to $u^7–3u^6+4u^2+2$ we get the sum as $u^6–u–4$. Then find the value of $A$?

When $y^3–3y^2+y+2$ is subtracted from $–A{y}^2-y+1$ to get the difference as $y^3+2y+1$ then find the value of $A$?

When $-t^3-2t–P$ is subtracted from $t^2+ t–7$ we get the difference as $t^3+t^2+3t+4$ then find the value of $P$?

On multiplying $3x+4$ by $7x^2+2x+1$ we get $21x^3+K{x}^2+11x+4$ then find the value of $K$.

On multiplication $5x^3+2x$ by $3x^2–9x+6$ we get $15x^5-45x^4+K{x}^3-18x^2+12x$ then find the value of $K.$.

On multiplying $p^4–5p^2+3$ by $p^3+1$ we get$p^7-5p^5+p^4+3p^3-A{p}^2+3$ then find the value of $A$.

If $p\left(x\right)=x^3+7x+3$ and $q\left(x\right)=2x^3–3$, then the value of $p\left(x\right)\times q\left(x\right)=2x^6+14x^4+3x^3-21x-k$. Then find the value of $k.$

If $p\left(u\right)=u^2+3u+4, q\left(u\right)=u^2+u-12$ and $r\left(u\right)=u-2$, then find the degree of $p\left(u\right)q\left(u\right)r\left(u\right)$.